113.65 is what percent of 182.2 - 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 182.2 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 182.2, so we can write it down as 100%=182.2.
4. We know, that x% equals 113.65 of the output value, so we can write it down as x%=113.65.
5. Now we have two simple equations:
1) 100%=182.2
2) x%=113.65
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%=182.2/113.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.65 is what percent of 182.2

100%/x%=182.2/113.65
(100/x)*x=(182.2/113.65)*x       - we multiply both sides of the equation by x
100=1.6031676198856*x       - we divide both sides of the equation by (1.6031676198856) to get x
100/1.6031676198856=x
62.376509330406=x
x=62.376509330406

now we have:
113.65 is 62.376509330406% of 182.2