What is the correct idiom to say that "I read" many papers "without considering the details"? [closed]

Skimming, scanning, or skim reading are all terms for this sort of thing. All would be acceptable in formal writing, although a single word isn't an idiom. They have slightly different meanings, however.

This page from the BBC's studying skills website differentiates the two, referring to skimming as when you "look through a text quickly to get the gist (the general idea)", while scanning refers to looking through a text for a particular piece of information (e.g. if you look through a document to see if it mentions something or includes a formula or address you want).

leaf through something

to quickly turn the pages of a book or a magazine, reading only a little of it:

The waiting room was full of people leafing through magazines.

[Cambridge Dictionary]