118.37 is what percent of 131.52 - 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 131.52 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 131.52, so we can write it down as 100%=131.52.
4. We know, that x% equals 118.37 of the output value, so we can write it down as x%=118.37.
5. Now we have two simple equations:
1) 100%=131.52
2) x%=118.37
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%=131.52/118.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.37 is what percent of 131.52

100%/x%=131.52/118.37
(100/x)*x=(131.52/118.37)*x       - we multiply both sides of the equation by x
100=1.1110923375855*x       - we divide both sides of the equation by (1.1110923375855) to get x
100/1.1110923375855=x
90.001520681265=x
x=90.001520681265

now we have:
118.37 is 90.001520681265% of 131.52