508.52 is what percent of 583.51 - 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 583.51 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 583.51, so we can write it down as 100%=583.51.
4. We know, that x% equals 508.52 of the output value, so we can write it down as x%=508.52.
5. Now we have two simple equations:
1) 100%=583.51
2) x%=508.52
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%=583.51/508.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 508.52 is what percent of 583.51

100%/x%=583.51/508.52
(100/x)*x=(583.51/508.52)*x       - we multiply both sides of the equation by x
100=1.1474671596004*x       - we divide both sides of the equation by (1.1474671596004) to get x
100/1.1474671596004=x
87.148463608164=x
x=87.148463608164

now we have:
508.52 is 87.148463608164% of 583.51