52.9 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 52.9 of the output value, so we can write it down as x%=52.9.
5. Now we have two simple equations:
1) 100%=64
2) x%=52.9
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%=64/52.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.9 is what percent of 64

100%/x%=64/52.9
(100/x)*x=(64/52.9)*x       - we multiply both sides of the equation by x
100=1.2098298676749*x       - we divide both sides of the equation by (1.2098298676749) to get x
100/1.2098298676749=x
82.65625=x
x=82.65625

now we have:
52.9 is 82.65625% of 64