58.2 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 58.2 of the output value, so we can write it down as x%=58.2.
5. Now we have two simple equations:
1) 100%=112.8
2) x%=58.2
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%=112.8/58.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.2 is what percent of 112.8

100%/x%=112.8/58.2
(100/x)*x=(112.8/58.2)*x       - we multiply both sides of the equation by x
100=1.9381443298969*x       - we divide both sides of the equation by (1.9381443298969) to get x
100/1.9381443298969=x
51.595744680851=x
x=51.595744680851

now we have:
58.2 is 51.595744680851% of 112.8