117.31 is what percent of 125.37 - 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 125.37 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 125.37, so we can write it down as 100%=125.37.
4. We know, that x% equals 117.31 of the output value, so we can write it down as x%=117.31.
5. Now we have two simple equations:
1) 100%=125.37
2) x%=117.31
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%=125.37/117.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 117.31 is what percent of 125.37

100%/x%=125.37/117.31
(100/x)*x=(125.37/117.31)*x       - we multiply both sides of the equation by x
100=1.0687068451112*x       - we divide both sides of the equation by (1.0687068451112) to get x
100/1.0687068451112=x
93.571029751934=x
x=93.571029751934

now we have:
117.31 is 93.571029751934% of 125.37