52.5 is what percent of 502.5 - 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 502.5 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 502.5, so we can write it down as 100%=502.5.
4. We know, that x% equals 52.5 of the output value, so we can write it down as x%=52.5.
5. Now we have two simple equations:
1) 100%=502.5
2) x%=52.5
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%=502.5/52.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.5 is what percent of 502.5

100%/x%=502.5/52.5
(100/x)*x=(502.5/52.5)*x       - we multiply both sides of the equation by x
100=9.5714285714286*x       - we divide both sides of the equation by (9.5714285714286) to get x
100/9.5714285714286=x
10.44776119403=x
x=10.44776119403

now we have:
52.5 is 10.44776119403% of 502.5