45.55 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 45.55 of the output value, so we can write it down as x%=45.55.
5. Now we have two simple equations:
1) 100%=113.1
2) x%=45.55
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%=113.1/45.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.55 is what percent of 113.1

100%/x%=113.1/45.55
(100/x)*x=(113.1/45.55)*x       - we multiply both sides of the equation by x
100=2.4829857299671*x       - we divide both sides of the equation by (2.4829857299671) to get x
100/2.4829857299671=x
40.27409372237=x
x=40.27409372237

now we have:
45.55 is 40.27409372237% of 113.1