KYIV — Ukraine’s parliament approved legislation Thursday restoring the independence of the country’s two main government anti-corruption bodies — a move demanded by Kyiv’s international partners as well as tens of thousands of enraged Ukrainians who protested on the streets of the capital and other cities.

The legislation passed by a comfortable margin, with 331 deputies voting in favor; a majority of 226 was needed. It was a stunning about-face by the same lawmakers who just last week had supported the previous law undermining the agencies, which drew public fury.