75.2 is what percent of 64 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 64 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 64, so we can write it down as 100%=64.
4. We know, that x% equals 75.2 of the output value, so we can write it down as x%=75.2.
5. Now we have two simple equations:
1) 100%=64
2) x%=75.2
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=64/75.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.2 is what percent of 64

100%/x%=64/75.2
(100/x)*x=(64/75.2)*x       - we multiply both sides of the equation by x
100=0.85106382978723*x       - we divide both sides of the equation by (0.85106382978723) to get x
100/0.85106382978723=x
117.5=x
x=117.5

now we have:
75.2 is 117.5% of 64