Our badminton team has finished 75% of its season, during which we 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?
We can generalize from a specific example.
Let's assume that the season is 100 games long.
We have played 75% of the season, which is 75 games
We have won 40% of the games that we have played, so we have won 40% of 75 games, which is 30 games.
So, we must have lost 45 games.
To finish the season with as many wins as losses, of the 25 games we have left to play, we will have to win 20 games and lose 5.
To win 20 out of the last 25 games will be 20/25 = 0.80 = 80%