532.5 is what percent of 592 - 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 592 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 592, so we can write it down as 100%=592.
4. We know, that x% equals 532.5 of the output value, so we can write it down as x%=532.5.
5. Now we have two simple equations:
1) 100%=592
2) x%=532.5
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%=592/532.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 532.5 is what percent of 592

100%/x%=592/532.5
(100/x)*x=(592/532.5)*x       - we multiply both sides of the equation by x
100=1.1117370892019*x       - we divide both sides of the equation by (1.1117370892019) to get x
100/1.1117370892019=x
89.949324324324=x
x=89.949324324324

now we have:
532.5 is 89.949324324324% of 592