88.16 is what percent of 74.52 - 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 74.52 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 74.52, so we can write it down as 100%=74.52.
4. We know, that x% equals 88.16 of the output value, so we can write it down as x%=88.16.
5. Now we have two simple equations:
1) 100%=74.52
2) x%=88.16
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%=74.52/88.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.16 is what percent of 74.52

100%/x%=74.52/88.16
(100/x)*x=(74.52/88.16)*x       - we multiply both sides of the equation by x
100=0.84528130671506*x       - we divide both sides of the equation by (0.84528130671506) to get x
100/0.84528130671506=x
118.30381105743=x
x=118.30381105743

now we have:
88.16 is 118.30381105743% of 74.52