WASHINGTON — The Supreme Court unanimously sided with smart phone maker Samsung on Tuesday in its high-profile patent dispute with Apple over design of the iPhone.

The justices said Samsung may not be required to pay all the profits it earned from 11 phone models because the features it copied from the iPhone were only a part of Samsung's devices.

Cupertino, Calif.-based Apple had won a $399 million judgment against South Korea-based Samsung for infringing parts of the iPhone's patented design, but the case now returns to a lower court to decide what Samsung must pay.

The case is part of a series of disputes between the technology rivals that began in 2011. Apple accused Samsung of duplicating a handful of distinctive iPhone features for which Apple holds patents: the flat screen, the rounded rectangular shape of the phone and the layout of icons on the screen.

At issue was how much Samsung is required to compensate Apple under an 1887 law that requires patent infringers to pay “total profit.” Apple said that means all the profits from the phone sales, while Samsung argued it was limited to profits related to the specific components that were copied.

Justice Sonia Sotomayor wrote for the court that the law does not require damages to be based on the entire product, but can be limited to only a component of the product. The decision overturned a ruling from a federal appeals court in Washington, which said that Apple was entitled to all the profits.

Samsung already has handed the $399 million over to Apple, but was hoping to get some of that money back with a favorable Supreme Court ruling.