521.91 is what percent of 643.52 - 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 643.52 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 643.52, so we can write it down as 100%=643.52.
4. We know, that x% equals 521.91 of the output value, so we can write it down as x%=521.91.
5. Now we have two simple equations:
1) 100%=643.52
2) x%=521.91
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%=643.52/521.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 521.91 is what percent of 643.52

100%/x%=643.52/521.91
(100/x)*x=(643.52/521.91)*x       - we multiply both sides of the equation by x
100=1.2330095227146*x       - we divide both sides of the equation by (1.2330095227146) to get x
100/1.2330095227146=x
81.102374440577=x
x=81.102374440577

now we have:
521.91 is 81.102374440577% of 643.52