113.53 is what percent of 124.01 - 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 124.01 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 124.01, so we can write it down as 100%=124.01.
4. We know, that x% equals 113.53 of the output value, so we can write it down as x%=113.53.
5. Now we have two simple equations:
1) 100%=124.01
2) x%=113.53
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%=124.01/113.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.53 is what percent of 124.01

100%/x%=124.01/113.53
(100/x)*x=(124.01/113.53)*x       - we multiply both sides of the equation by x
100=1.0923104025368*x       - we divide both sides of the equation by (1.0923104025368) to get x
100/1.0923104025368=x
91.549068623498=x
x=91.549068623498

now we have:
113.53 is 91.549068623498% of 124.01