58.6 is what percent of 111.3 - 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 111.3 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 111.3, so we can write it down as 100%=111.3.
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%=111.3
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%=111.3/58.6
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 111.3

100%/x%=111.3/58.6
(100/x)*x=(111.3/58.6)*x       - we multiply both sides of the equation by x
100=1.8993174061433*x       - we divide both sides of the equation by (1.8993174061433) to get x
100/1.8993174061433=x
52.650494159928=x
x=52.650494159928

now we have:
58.6 is 52.650494159928% of 111.3