Calling all chess mathematicians and statisticiansneed formula

I want to figure out a formula that reveals to what percentage chess belong based on their ratings. For example, if a player is 2000 then that’s an indication of belonging to the top 10% of the chess players of the world or 1500 indicates top 50% of chess players in the world, for arguments sake. Maybe

Can you guess who the number 1&2 according to kramnik statistics of accuracy? : r/chess

2023 AMC Math Competition Guide. Love Math? Score Better! - IMACS - Making Better Thinkers for Life

2023 AMC Math Competition Guide. Love Math? Score Better! - IMACS - Making Better Thinkers for Life

Match Statistics - Chessprogramming wiki

Puzzle Program to find number of squares in a chessboard - GeeksforGeeks

Can I win in a chess match using mathematics? - Quora

Used Book in Good Condition

The Mathematics of Poker

Does being good at math translate to chess? Slightly, yes. : r/chess

My Chess(able) Story: Why Do We Play Chess? - Chessable Blog

Innumeracy: Mathematical Illiteracy by Paulos, John Allen