58.8 is what percent of 557.64 - 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 557.64 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 557.64, so we can write it down as 100%=557.64.
4. We know, that x% equals 58.8 of the output value, so we can write it down as x%=58.8.
5. Now we have two simple equations:
1) 100%=557.64
2) x%=58.8
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%=557.64/58.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.8 is what percent of 557.64

100%/x%=557.64/58.8
(100/x)*x=(557.64/58.8)*x       - we multiply both sides of the equation by x
100=9.4836734693878*x       - we divide both sides of the equation by (9.4836734693878) to get x
100/9.4836734693878=x
10.544437271358=x
x=10.544437271358

now we have:
58.8 is 10.544437271358% of 557.64