Answer
The number we are looking for is 70.
Work Step by Step
Let x represent the number we need to find.
Thirty-five percent of what number means 35% of x = 35% $\times$ x
Is 24.5 means = 24.5
So, 35% $\times$ x = 24.5
0.35 $\times$ x = 24.5
0.35x = 24.5
Divide both sides by 0.35.
x = 70