Linux permissions work completely differently. It doesn't translate at all.
The whole single-user Windows vs. multi-user Linux difference is so fundamental, that it profoundly affects pretty much everything. Only the superficial user interface is the same. If that's all you interact with, like most casual users, then you don't care what's under it, but for anything that requires more in-depth knowledge and control, you pretty much have to learn your chosen system all by itself, whether that's Windows, Mac, Linux, or something else.
Although, since Mac is based on Unix (or at least was for a while, maybe still is), and Linux is also based on Unix (Linux = Linus's Unix, after a tinkerer at the time named Linus Torvalds), there's a lot of similarity under the hood between those two. But they're still not the same.