117.63 is what percent of 135.01 - 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 135.01 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 135.01, so we can write it down as 100%=135.01.
4. We know, that x% equals 117.63 of the output value, so we can write it down as x%=117.63.
5. Now we have two simple equations:
1) 100%=135.01
2) x%=117.63
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%=135.01/117.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 117.63 is what percent of 135.01

100%/x%=135.01/117.63
(100/x)*x=(135.01/117.63)*x       - we multiply both sides of the equation by x
100=1.1477514239565*x       - we divide both sides of the equation by (1.1477514239565) to get x
100/1.1477514239565=x
87.126879490408=x
x=87.126879490408

now we have:
117.63 is 87.126879490408% of 135.01