112.59 is what percent of 958.88 - 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 958.88 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 958.88, so we can write it down as 100%=958.88.
4. We know, that x% equals 112.59 of the output value, so we can write it down as x%=112.59.
5. Now we have two simple equations:
1) 100%=958.88
2) x%=112.59
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%=958.88/112.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.59 is what percent of 958.88

100%/x%=958.88/112.59
(100/x)*x=(958.88/112.59)*x       - we multiply both sides of the equation by x
100=8.5165645261569*x       - we divide both sides of the equation by (8.5165645261569) to get x
100/8.5165645261569=x
11.741823794427=x
x=11.741823794427

now we have:
112.59 is 11.741823794427% of 958.88