117.37 is what percent of 538.56 - 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 538.56 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 538.56, so we can write it down as 100%=538.56.
4. We know, that x% equals 117.37 of the output value, so we can write it down as x%=117.37.
5. Now we have two simple equations:
1) 100%=538.56
2) x%=117.37
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%=538.56/117.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 117.37 is what percent of 538.56

100%/x%=538.56/117.37
(100/x)*x=(538.56/117.37)*x       - we multiply both sides of the equation by x
100=4.5885660731022*x       - we divide both sides of the equation by (4.5885660731022) to get x
100/4.5885660731022=x
21.793300653595=x
x=21.793300653595

now we have:
117.37 is 21.793300653595% of 538.56