56.33 is what percent of 130.13 - 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 130.13 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 130.13, so we can write it down as 100%=130.13.
4. We know, that x% equals 56.33 of the output value, so we can write it down as x%=56.33.
5. Now we have two simple equations:
1) 100%=130.13
2) x%=56.33
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%=130.13/56.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.33 is what percent of 130.13

100%/x%=130.13/56.33
(100/x)*x=(130.13/56.33)*x       - we multiply both sides of the equation by x
100=2.310136694479*x       - we divide both sides of the equation by (2.310136694479) to get x
100/2.310136694479=x
43.28748174902=x
x=43.28748174902

now we have:
56.33 is 43.28748174902% of 130.13