5022.52 is what percent of 5325 - 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 5325 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 5325, so we can write it down as 100%=5325.
4. We know, that x% equals 5022.52 of the output value, so we can write it down as x%=5022.52.
5. Now we have two simple equations:
1) 100%=5325
2) x%=5022.52
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%=5325/5022.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5022.52 is what percent of 5325

100%/x%=5325/5022.52
(100/x)*x=(5325/5022.52)*x       - we multiply both sides of the equation by x
100=1.0602247477362*x       - we divide both sides of the equation by (1.0602247477362) to get x
100/1.0602247477362=x
94.319624413146=x
x=94.319624413146

now we have:
5022.52 is 94.319624413146% of 5325