58.6 is what percent of 506.8 - 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 506.8 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 506.8, so we can write it down as 100%=506.8.
4. We know, that x% equals 58.6 of the output value, so we can write it down as x%=58.6.
5. Now we have two simple equations:
1) 100%=506.8
2) x%=58.6
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%=506.8/58.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.6 is what percent of 506.8

100%/x%=506.8/58.6
(100/x)*x=(506.8/58.6)*x       - we multiply both sides of the equation by x
100=8.6484641638225*x       - we divide both sides of the equation by (8.6484641638225) to get x
100/8.6484641638225=x
11.56274664562=x
x=11.56274664562

now we have:
58.6 is 11.56274664562% of 506.8