58.8 is what percent of 112.8 - 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 112.8 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 112.8, so we can write it down as 100%=112.8.
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%=112.8
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%=112.8/58.8
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 112.8

100%/x%=112.8/58.8
(100/x)*x=(112.8/58.8)*x       - we multiply both sides of the equation by x
100=1.9183673469388*x       - we divide both sides of the equation by (1.9183673469388) to get x
100/1.9183673469388=x
52.127659574468=x
x=52.127659574468

now we have:
58.8 is 52.127659574468% of 112.8