PokéBase - Pokémon Q&A
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Does this vary between generations? Please don't question my curiosity.

Mod edit: this question asks for encounter rate, not catch rate. Only answer if you know about this, and can prove it.

closed with the note: Very trivial and finding an answer would take too much work for what it's worth.
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I don't remember, but maybe it was on Serebii.
Are you able to find the link to it? So far you’ve been able to prove nothing.
I'm posting this as a comment because I have not started field testing it yet but yes this does vary between generation by a little but it does I'm going to do more research and check with some more reliable sources then I will post this as an answer with as much proof as possible
If using a max repel it is 100%
If you want to get technical, that's only if the player's first Pokemon is between the legendary Pokemon's level and the next highest wild Pokemon level.