45.27 is what percent of 113.1 - 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 113.1 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 113.1, so we can write it down as 100%=113.1.
4. We know, that x% equals 45.27 of the output value, so we can write it down as x%=45.27.
5. Now we have two simple equations:
1) 100%=113.1
2) x%=45.27
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%=113.1/45.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.27 is what percent of 113.1

100%/x%=113.1/45.27
(100/x)*x=(113.1/45.27)*x       - we multiply both sides of the equation by x
100=2.4983432736912*x       - we divide both sides of the equation by (2.4983432736912) to get x
100/2.4983432736912=x
40.026525198939=x
x=40.026525198939

now we have:
45.27 is 40.026525198939% of 113.1