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

Entropy, Free Full-Text

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

Best Chess Podcasts: The Ultimate Guide To Chess Podcasts in 2022 - Chessentials

John Napier's Binary Chessboard Calculator - Multiplication

Book Review] Move First, Think Later: Sense and Nonsense in Improving Your Chess : r/chess

Kramnik creates online petition calling for an examination of Hikaru Nakamura's games by chess.com : r/chess

Kramnik still clueless about basic maths : r/chess

In New Math Proofs, Artificial Intelligence Plays to Win

Kramnik still clueless about basic maths : r/chess

Innumeracy: Mathematical Illiteracy by Paulos, John Allen

17 Famous Mathematicians—Complete List — Mashup Math

How Chess Algorithm Works?. Chess is a two-player strategy board…, by Fernaldi Fauzie, Analytics Vidhya

The mathematically proven winning strategy for 14 of the most popular games - The Washington Post

Fischer random chess - Wikipedia

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