Our badminton team has finished $60\%$ of its season. So far, we have won $40\%$ of the games we played. What percent of the remainder of our games must we win in order to finish the season with the same number of wins as losses?
Call the total number of games to be played = T
We have played .60T
We have .40T left to play
We have won .40 (.60)T = .24T
We need to win .50T
So
[ Games we need to win - Games we have won ] / [ Games to be played ] = %we need to win
[ .50T - .24T ] / .40T =
.26 / .40 =
13 / 20 =
65% of our remaining games