58.8 is what percent of 72.2 - 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 72.2 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 72.2, so we can write it down as 100%=72.2.
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%=72.2
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%=72.2/58.8
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 72.2

100%/x%=72.2/58.8
(100/x)*x=(72.2/58.8)*x       - we multiply both sides of the equation by x
100=1.2278911564626*x       - we divide both sides of the equation by (1.2278911564626) to get x
100/1.2278911564626=x
81.440443213296=x
x=81.440443213296

now we have:
58.8 is 81.440443213296% of 72.2