532.9 is what percent of 542.5 - 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 542.5 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 542.5, so we can write it down as 100%=542.5.
4. We know, that x% equals 532.9 of the output value, so we can write it down as x%=532.9.
5. Now we have two simple equations:
1) 100%=542.5
2) x%=532.9
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%=542.5/532.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 532.9 is what percent of 542.5

100%/x%=542.5/532.9
(100/x)*x=(542.5/532.9)*x       - we multiply both sides of the equation by x
100=1.0180146368925*x       - we divide both sides of the equation by (1.0180146368925) to get x
100/1.0180146368925=x
98.230414746544=x
x=98.230414746544

now we have:
532.9 is 98.230414746544% of 542.5