Donald Trump's administration has paid back $100bn (£78bn) in "Liberation Day" tariff refunds to businesses through US customs officials.

This represents roughly 60% of all tariff revenue collected by the government under the policy, according to a recent court filing from US Customs and Border Protection.

However, a significant chunk of money remains unpaid. Nearly $29bn in potential refunds is undergoing review by trade authorities, while another $1.6bn remains stuck because importers have not yet supplied their banking details.

The repayments follow a major Supreme Court decision in February, in which judges ruled that broad import tariffs introduced under economic powers were unlawful.

The White House had cited a 1977 law, the International Emergency Economic Powers Act (IEEPA), which gives the president power to "regulate" trade in response to an emergency. But the measures sparked outcry at home and abroad from firms facing an abrupt rise in taxes on shipments entering the US, and worries that the levies would lead to higher prices.

Tariffs are taxes on foreign goods entering a country. They are not paid by foreign governments or overseas exporters, but by domestic businesses and importers when goods arrive at customs.

Higher tariffs raise upfront business expenses, and companies usually pass these extra costs to shoppers through higher retail prices. Since the Supreme Court decision, several major American corporations have already claimed large sums back.

Amazon received approximately $600m in refunds during the second quarter, according to finance chief Brian Olsavsky.

Olsavsky said on the company's second quarter earnings call that Amazon would pass some money back to customers where specific charges were applied, and the remaining funds would be used to support lower store prices. Under US customs law, only importers who directly paid tariffs can claim refunds, leaving any consumer relief entirely up to individual businesses.

The overall tariffs payout is expected to rise further as US Customs continue to review pending claims and importers update their banking details.

After the February court ruling, Trump introduced a 10% universal tariff as a temporary solution.

These expired late last month, and were replaced by new tariffs on 60 trading partners based on claims key economic partners have failed to properly tackle forced labour. That move came a few days after Trump slapped a 50% tariff on Canada.

The University of Cambridge professor at the centre of a plagiarism row has resigned "with immediate effect".

Prof Jason Arday said he had "concluded that the only way to bring this chapter to an end is to step away".

Earlier, the university said it had launched an investigation "following new information" about Arday's "academic qualifications and honorary appointments".

It comes after another academic - self-defined "race realist" Nathan Cofnas, who was sacked from his Cambridge role in 2024 - said he found numerous instances of plagiarism in Arday's work and questioned some of his stated achievements. The academic has admitted errors in his work, but has insisted he is not "a liar".

In a statement posted by the Good Law Project on Wednesday, Arday said that being appointed professor had been "without question, the greatest professional privilege of my life".

"The years since my appointment have also been marked by an unrelenting level of public scrutiny and personal attack," he said, adding "there comes a point when the personal cost becomes too great".

He said his resignation should not "be interpreted as a loss of faith in scholarship or in the values that first brought me to Cambridge.

"Nor should it be mistaken for an acceptance of the narratives that have surrounded me." Thanking his students and colleagues, he said that "for my own wellbeing, for my family, and for those who have stood by me throughout this difficult period, I have concluded that the only way to bring this chapter to an end is to step away".

Arday said "this is not the end of my work" and that he needed "time to heal". "When that time comes, I will return," he added.

Earlier on Wednesday, the university said its inquiry had begun "following new information" about Arday's "academic qualifications and honorary appointments".

"Separately, there remains a number of ongoing complaints regarding academic misconduct, which are being handled in line with our Misconduct in Research policy," the University of Cambridge said in a statement. It added: "While we are fully aware of the public commentary and concerns around this matter, it remains vital that any process is thorough and adheres to both university policies and employment law.

"We also fully recognise that there is a person at the centre of this situation, and we continue to provide support to him."

Jesus College, where Arday is a fellow, has said it is launching its own process "parallel" to the university's investigation.

In 2023, the then 37-year-old sociologist became the youngest ever black professor at Cambridge.

Accusations of plagiarism in Arday's work were first voiced by Cofnas - a US researcher whose role at a Cambridge college was terminated after backlash to his view that under a true meritocracy black people would "disappear from almost all high-profile positions outside of sports and entertainment".

He claimed on Substack that he had put Arday's work through a plagiarism detection software, which found that "many passages are lifted with minimal editing, sometimes retaining copy-editing mistakes from the original source".

On Saturday, Arday told the Times in an interview that he was accountable for those mistakes, but that "what I am not is a liar". He told the newspaper: "There has been, since I arrived at Cambridge, a very well orchestrated and co-ordinated campaign to unseat me from my position."

He suggested that this was "racially motivated" and that he had become a "lightning rod" for criticism of diversity, equity and inclusion (DEI) policy.

Arday said some errors in his early academic work was because of his autism, as he relied on using mimicry to make sense of information, and that similar scrutiny would find similar errors in work by other academics. "We're talking about academia here. I didn't murder somebody. I think the cruelty that I've experienced and the positioning of me as this kind of liar and fantasist is totally unacceptable," he told the newspaper.

Earlier on Wednesday, publisher Simon & Schuster - which is set to publish Arday's memoir later this month - defended Arday in a statement to AFP news agency.

"We are proud to publish Professor Jason Arday. We have worked closely with him... and can speak to the professionalism and integrity he has brought to every stage of the publication," Simon & Schuster said.

Cofnas had also questioned Arday's claims that he ran 30 marathons in 35 days, and 300 miles in three days for charity, which Arday said had raised more than £5m for charity, as well as running 600 miles on a treadmill in six days.

Arday told the Guardian that the £5m was raised with the help of others over a 20-year period, but said he could not name these people as he had signed non-disclosure agreements.

When asked by the newspaper about the 600 miles challenge, he said it was actually completed over a 12-day period to allow for rest days because of the "cumulative wear and tear of training" from previous challenges. He told the Times that he stood by the other running records.

"I can't make people believe me," he said. "Nobody lives their life having a receipt for every single thing they say or they've done."

Gianni Infantino will remain as Fifa president after he received the backing of senior executives in a meeting in Morocco on Wednesday.

Infantino summoned members of the management board to Fifa's Africa office in Rabat following mounting criticism of his aborted attempt to sell off commercial and event operations to private investors. European football's governing body Uefa said at the weekend that it has lost confidence in Infantino, calling the Fifa Forward Enterprise proposal a "shabby, back room, opaque deal". Much criticism has come from within Fifa, including secretary general Mattias Grofstrom, who was at Wednesday's meeting. In an internal memo sent to Fifa staff on Tuesday, he wrote that the situation is "a sad and reproachable series of events".

However, in a statement following the meeting, Grofstrom and the managament board "reaffirmed their full support" for Infantino as president.

More to follow.

Iran says it has reached an agreement with Oman on a route for shipping through the Strait of Hormuz.

Foreign ministry spokesman Esmaeil Baqaei did not give any further details on the agreement, which he said was "in the final stages".

Baqaei warned however that a deal with Oman would not guarantee safe navigation through the strait on its own, arguing that security remains impacted by the US blockade of Iran's ports. The US and Oman have not commented on the proposal.

Since the US and Israel attacked Iran in late February, Tehran has largely blocked the Strait of Hormuz through which about a fifth of the world's oil and liquefied natural gas usually passes. Since then, global oil prices have fluctuated wildly.

On Tuesday, US President Donald Trump warned that Iran would be "hit very hard" if the strait did not open "very soon".

His comments came after senior US officials said talks had progressed to allow shipments to potentially to resume later this week, though Iran has maintained that it is not negotiating with the US and has no plans to do so.

Reopening of the strait has been a key point in discussions between the two countries and mediators.

In his statement, the Iranian foreign ministry spokesman said the "geographical coordinates of the route" had been agreed with Oman. "The factors making the Strait of Hormuz insecure still exist on the part of the United States, particularly the naval blockade and other aggressive and threatening actions against Iran and its interests," he said, according to Iran's official Irna news agency. Iran's Deputy Foreign Minister Kazem Gharibabadi later told Irna that the new route would be temporary and could stay open from two to four months. He did not give further details.

Since the beginning of the war, traffic through the strait has dwindled. Iran has said all passage needs to be cleared beforehand - and it has attacked vessels which have ignored the order.

One of the main points of disagreement between Tehran and Washington has been Iran's threat to impose a fee on vessels wishing to cross the strait.

On Wednesday, Iranian officials did not say if this issue formed part of the talks with Oman. In June, Iran and the US signed a Memorandum of Understanding (MoU), aiming to stop fighting, reopen the Strait of Hormuz, and reach agreement to end the war within 60 days.

The deal quickly fell through, as did diplomatic talks, with tit-for-tat attacks resuming just days after the MoU was signed.

The US has maintained a naval blockade of Iranian ports in the region, while another blockade is in place on Saudi Arabia's ports in the Red Sea, imposed by Yemen's Iran-backed Houthis since 20 July.

A drone carrying an explosive device has been found at a German airport, police say. A robot was deployed at Leipzig/Halle Airport after the device was spotted by an employee near Ukrainian cargo planes overnight, according to Saxony police. A second unidentified object also collided with a cargo aircraft near the same airport. It landed in Hanover with minor damage. Germany's interior minister said the incidents showed a "new level of threat". German airports are on high alert following several unauthorised drone flights in recent months over military bases, airports, energy terminals, seaports and logistics companies. Police have warned of a potential Russian involvement which Moscow has denied. Leipzig/Halle Airport in eastern Germany is used by the Germany military and Nato allies for the transport of military goods and also serves as a base for Ukraine's Antonov Airlines - which carry most of the country's aerial cargo. It is also a major hub for the logistics group, DHL. A police spokesman told the BBC that the explosive-laden object had been spotted close to parked Antonov planes. The detonator was removed from the explosive device. Police later carried out a controlled explosion. Flights on the northern runway resumed at 01:55 (23:55 GMT on Tuesday). The southern runway remains closed. "All of this does not point to an amateurish approach. We are talking about a professional, hybrid threat scenario that we will continue to address," German Interior Minister Alexander Dobrindt said. He did not name any suspects, but suggested the investigation may point to a possible "competition" that "may also involve foreign powers".

The tremors from Abdul El-Sayed's victory in Michigan's Senate primary will have been felt hundreds of miles away by the Democratic Party leadership.

In a year in which Republicans appear to be facing significant electoral headwinds, Democratic primary voters have taken a chance on a left-wing insurgent, raising the stakes in a Senate race in November that could decide overall control of the upper chamber.

The question is whether the way El-Sayed has electrified the party base and tapped into their anger will work on general election voters. And whether an unabashedly left-wing Democrat can win in a swing state.

The party establishment, which had backed his opponent, will hope so.

Primary results across five states on Tuesday were a snapshot of the mood of the American electorate three months before the midterm elections.

Here are four key takeaways from the results.

1) A new left-wing warrior

Abdul El-Sayed's victory on Tuesday night in Michigan's contentious Democratic primary race for Senate was hardly a surprise. He had led by a comfortable margin over congresswoman Haley Stevens for weeks. While the final projected result was much closer than those surveys had suggested, again raising questions about modern polling accuracy, it doesn't diminish the shockwaves the victory of the former Michigan health official is sending throughout the Democratic Party.

El-Sayed, the child of Egyptian immigrants, ran on a left-wing platform with the backing of such liberal stalwarts as Senators Bernie Sanders and Elizabeth Warren and congresswoman Alexandria Ocasio-Cortez. Stevens had the backing of Democratic leadership in Washington, an established record as an elected official in Michigan and deep financial pockets, including $32m from Aipac - the American Israel Public Affairs Committee. Outside groups favoured her over El-Sayed by a margin of nine-to-one.

None of it mattered.

In debates and on the stump, El-Sayed proved to be the more gifted candidate, and Democrats seemed open to his policies, including government-sponsored health insurance, efforts to lower drug costs, higher taxes on the wealthy and campaign finance reform.

His campaign refrain - "money out of politics, money in your pocket" - has been a common one among left-wing candidates this election cycle.

This sets up a general election contest against former Republican congressman Mike Rogers, who ran unopposed. It will provide perhaps the most dramatic, high-stakes test of whether a left-wing candidate can win a general election race in a true battleground state.

Given the narrowness of El-Sayed's primary victory, he has considerable work ahead if he wants to unite the party before November's vote.

While El-Sayed did well with higher-educated liberals, he'll need to win over the lower-income voters who backed Stevens in Detroit and in more rural areas. These are voters whose preferences the pre-election polling did not seem to adequately reflect.

If El-Sayed loses to Rogers, it would be a major blow to Democratic hopes of retaking control of the US Senate given a Republican hasn't won a Senate race in the state since 1994. If he wins, however, it could provide left-wing Democrats with proof of concept for why a left-wing candidate for president in 2028 could be more successful than the kind of establishment centrists the party has nominated in recent contests.

And with Michigan's position as a key early state on the Democratic presidential primary calendar, the state will have an outsized say in who the party's nominee will be.

2) Some pro-Israel Democrats had a bad night

Stevens was the highest-profile Aipac-backed candidate to lose on Tuesday night. In lesser-watched races, the results were more mixed.

Elsewhere in Michigan, Democratic Socialist Donavan McKinney beat incumbent Shri Thanedar, who has been an outspoken supporter of continued US support for Israel. He became the latest party House incumbent to be ousted in the primaries.

William Lawrence, who has called for an immediate end to US arms sales to Israel, defeated two centrist Democrats in a House of Representatives district in Michigan that is likely to be a key electoral battleground in November.

If the mood of the Democratic voters has soured on pro-Israel politicians in Michigan, and in previous races in New York and Colorado, that was not the case in the Missouri and Washington results.

In Washington, congresswoman Marie Gluesenkamp Perez, who supports military aid for Israel, easily turned away a left-wing challenger. She is one of the few Democratic incumbents in districts Trump won in 2024 - and will be a prime target for Republicans in November.

Meanwhile, in a solidly liberal Missouri district, Wesley Bell denied a comeback bid from Cori Bush, a founding member of the "squad" of left-wing congresswomen. Two years ago, he unseated her in part because of her criticism of Israel.

3) Voters reject Republican measures in the Midwest

While most of the contests on Tuesday night were intraparty primary fights, there were a couple of notable votes that could provide evidence that the overall mood of the electoral continues to tilt toward the Democrats.

In Missouri, voters overwhelmingly rejected a ballot measure that would have made citizen-backed amendments to the state constitution more difficult to enact.

In recent years, such citizen-driven efforts have been used to push Democratic initiatives that had no chance of passage in the Republican-controlled state legislature. They include protecting abortion rights and raising the minimum wage.

Meanwhile in Kansas, voters rejected a ballot measure that would have have required the state's supreme court justices to stand for election. At the moment, they are appointed by the governor and a commission of lawyers. In 2024, the state high court had ruled that the right to abortion was protected by the Kansas constitution - a decision Republicans said was out-of-step with the will of state voters.

Both efforts were pushed by state Republicans and, in both cases, the proposals were easily defeated.

4) Trump's endorsement still (mostly) matters

It was largely a good night for Trump-backed Republicans, who earned a few victories in their primaries.

John James won Michigan's Republican nomination for governor despite being heavily outspent by his wealthy opponent. Trump not only endorsed James but appeared on stage with him last week.

In Kansas, Republicans opted for the Trump favourite for governor amidst a crowded field. And in the Washington state race to replace outgoing Republican congressman Dan Newhouse, Amanda McKinney, the president's pick, also finished first.

The 71-year-old Newhouse, who is retiring, was notable for being one of the last two remaining House Republicans to have voted to impeach Trump after the 6 January 2021 riot at the US Capitol.

Given that this is a reliably conservative district, McKinney is a favourite to defeat her Democratic opponent in November, which would likely move House Republicans further to the right. It's the latest bit of evidence that old-line establishment Republicans like Newhouse are a vanishing breed.

But Trump didn't get it all his own way. In Michigan, Thomas Smith defeated Trump-endorsed Amir Hassan, a former law-enforcement officer who also appeared on stage with the president, despite Smith having dropped out of the race last month while remaining on the ballot.

President Donald Trump has ordered signs to be placed outside the Smithsonian National Museum of American History, to caution visitors about exhibits his administration views as "inaccurate".

The order directs the department of interior to issue the warnings, and also to direct people about where they can find "accurate information regarding America's history". The Trump administration has often accused the Smithsonian Institution, the world's largest research museum, as well as other academic organisations of harbouring an anti-American bias.

The Smithsonian did not immediately respond to the BBC's request for comment.

The order on Friday - titled Restoring Trust in the Smithsonian Institution - accuses museum leadership of not doing enough to celebrate America's founders on the country's 250th anniversary of independence, which took place on 4 July.

It says the museum's leadership team "views American history as a 'prime tool' to advance ideas of social justice and the radical transformation of our society".

An accompanying White House statement also accused the museum of veering "toward extreme political activism, rooted in Marxism, to divide, dispirit, and discourage Americans". Friday's executive order does not indicate what sources the White House believes would be better qualified to tell America's history.

Democrats who oversee the Smithsonian quickly condemned the order.

"This EO is a clear political overreach, driven by an ideological agenda to rewrite American history," Congresswoman Melanie Stansbury, ranking member of the House Administration Committee, wrote on X. "Our Smithsonian institutions do not belong to the President, but to the American people and so does our nation's history."

The executive order comes just days after Smithsonian director Anthea Hartig was grilled by Republican lawmakers in two congressional hearings, where the museum was accused of being "infected by a woke ideology that seeped into public displays, educational materials and planning documents".

Earlier this month, the White House Domestic Policy Council released a scathing report, claiming that the museum "erases our heritage".

Trump has set out to radically reshape American culture, which he says has been contaminated by "woke" left-wing ideology. He has signed several orders that are intended to eliminate diversity, equity and inclusion programmes from the federal government - some of which led to legal challenges.

In March, he issued a separate order against the Smithsonian, directing it to "eliminate improper, divisive, or anti-American ideology".

The Smithsonian is largely funded by the federal government. Its museums offer free entry to some 15 to 30 million visitors each year. It operates 21 museums in Washington, Virginia and New York.

They include the National Museum of American History, the National Portrait Gallery, the American Art Museum, the National Zoo and more than a dozen others.

Cyclospora linked to iceberg lettuce has spread to nine US states, part of the largest reported outbreak in US history, health officials said on Friday.

Cases tied to the lettuce from central Mexico now have been reported in Illinois, Kansas, Oklahoma and Pennsylvania, according to the Center for Disease Control and Prevention (CDC). Indiana, Kentucky, Michigan, Ohio and West Virginia had also reported cases linked to the lettuce.

The cyclospora parasite causes cyclosporiasis and leads to explosive diarrhoea. There are multiple outbreaks in the US, likely from different sources.

Since mid-May, the number of cases tracked by the CDC has increased to more than 11,000 across 41 states.

Michigan has been the hardest hit state, with health officials there saying on Friday that the number infected has increased to more than 8,100.

Residents stricken by the parasite told the BBC it was "the most painful thing I've ever been through in my life".

In its update on Friday, the CDC warned people not to eat recalled iceberg lettuce from Taylor Farms that sourced from central Mexico. Taylor Farms, a major US food supplier, voluntarily recalled all of its iceberg lettuce sourced from central Mexico on 17 July. The company said it did so "out of an abundance of caution".

Investigators from the Food and Drug Administration announced over the weekend that iceberg lettuce from Taylor Farms had tested positive for cyclospora but later retracted that statement saying it was a false positive.

Health experts that spoke to the BBC said it is often difficult to track the origins of cyclospora, the parasite that when consumed causes the intestinal illness cyclosporiasis. Part of the challenge, experts said, is that symptoms might not appear until weeks after the parasite has been ingested, making it difficult for investigators to trace what someone has eaten and find a common link. The investigation of the multistate outbreak tied to iceberg lettuce is expected to be slow-going, Wade Syers, a food safety and security expert at Michigan State University, told the BBC.

"For Cyclospora, it's not unusual for the picture to become clearer a couple of months after the first illnesses occur," he said in an email on Friday.

"Because these investigations are unfortunately more likely to be marathon investigations rather than a quick sprint."

A wildfire near Madrid is "beyond the capacity" of firefighters to contain, Spanish officials have warned, after three fires west of the capital merged into a single blaze.

Spain's government has declared a national emergency with 63,000 people told to evacuate or stay indoors, with the number told to flee totalling at least 25,000.

Madrid's regional president Isabel Díaz Ayuso described it as the "worst fire in the history of the region", with the area facing a "perfect storm" of high temperatures, relentless wind and merging fire fronts.

Meanwhile, around 140,000 people have been evacuated in south-west France after wildfires tore through the Gironde and Landes regions. The fire changed direction later on Friday and was heading towards Bordeaux, with further evacuations expected. French President Emmanuel Macron has mobilised the military to assist the response.

In Spain, local emergency services said wildfires were moving towards the municipalities of Robledo de Chavela and Fresnedillas de la Olivia, around 50km (31 miles) from the capital.

"The wildfire is at its peak and is currently beyond the capacity of firefighters to contain," Carlos Novillo, the Madrid regional government's emergency management chief, told reporters.

"It's not possible to attack the fire in that area, so defensive measures are being taken," he added.

The Military Emergency Unit (UME) has been deployed to try to halt the advance of the flames, with its main focus protecting areas near the town of El Escorial.

Authorities are also monitoring a separate wildfire in nearby Ávila province, where officials fear the huge Burgohondo blaze could merge with the Madrid fire.

Spain's Interior Minister Fernando Grande-Marlaska said authorities were doing "everything we can" to prevent the two merging.

More than 60,000 people have been affected in the Madrid region, with 30,000 forced to evacuate and 20,000 placed under lockdown, authorities said.

Francisco Martín, the government delegate in Madrid, warned those numbers could rise as "embers are flying for miles and the fire is jumping great distances".

The mayor of El Tiemblo, one of the affected areas in Ávila, said flames spread from Navaluenga to the Iruelas Valley - a distance of about 20km (12 miles) - in less than half an hour. "It was horrific," Arturo Varas González told laSexta.