There isn't any conversion formula between FIDE ratings, chess.com ratings and lichess ratings.
How could there be? Chess ratings are a distilled summary of your results against a SPECIFIC pool of chess players. FIDE, chess.com and lichess have three DIFFERENT pools of chess players.
We can make very general comments, such as "Chess.com ratings are higher (and worth less) than FIDE ratings" or "lichess ratings are even higher (and worth even less)"... both of which I agree with... but that's about as far as we can go in comparing them.
I'm a little curious about rapid ratings...
So I know this could be quite a pointless discussion, but I can't help but be curious about the difference between FIDE ratings, chess.com ratings and lichess ratings... (as in for rapid)
I have my own perspective on this, feel free to disagree.
I think for chess.com, a 1500-1600s rating would be a 1100s rating in FIDE, but it could differ from person to person.
Anything below that, like a 1400-1500s rating would probably either be a rating below 1000 (unrated) or a rating between 1000 and 1100.
In my opinion, chess.com ratings are inflated by about 400-500 points for lower rated players, and probably 200-300 for higher rated players..
Now for lichess, here's what I think.
Anything below 1600 is pretty much unrated (<1000)
1700s are probably unrated too...same goes for 1800s, but it could be 1000-1100.
1900s is probably somewhere in 1000-1300.
2000s probably 1100-1300, 2100s could potentially be a 1300-1500s, and so on.
In my opinion, lichess ratings are inflated by like 700-800 points for lower rated players, and 500-600 points for higher rated players.
But this is simply based on my knowledge, if anyone else has anymore real life examples or more knowledge, I'd love for them to share!