88.52 is what percent of 90.72 - 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 90.72 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 90.72, so we can write it down as 100%=90.72.
4. We know, that x% equals 88.52 of the output value, so we can write it down as x%=88.52.
5. Now we have two simple equations:
1) 100%=90.72
2) x%=88.52
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%=90.72/88.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.52 is what percent of 90.72

100%/x%=90.72/88.52
(100/x)*x=(90.72/88.52)*x       - we multiply both sides of the equation by x
100=1.0248531405332*x       - we divide both sides of the equation by (1.0248531405332) to get x
100/1.0248531405332=x
97.574955908289=x
x=97.574955908289

now we have:
88.52 is 97.574955908289% of 90.72