2527 games played, 2131 games won. How many games should be played to maximize wins?

Question

Cheryl has played 2527 games of solitare. She has won 2131 games.  84% wins. How many games must she play to have the maximum percent of wins.

Answer 1

The maximum (unobtainable) is 100%. It can only be approached - it's a limit.

E.g.

She wins the next 1000 games, 3131 / 3527 = 88.77%

She wins the next 5000 games, 7131 / 7527 = 94.47%

She wins the next 10000 games, 12131 / 12517 = 96.92%