75.28 is what percent of 130 - 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 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, so we can write it down as 100%=130.
4. We know, that x% equals 75.28 of the output value, so we can write it down as x%=75.28.
5. Now we have two simple equations:
1) 100%=130
2) x%=75.28
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%=130/75.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.28 is what percent of 130

100%/x%=130/75.28
(100/x)*x=(130/75.28)*x       - we multiply both sides of the equation by x
100=1.7268862911796*x       - we divide both sides of the equation by (1.7268862911796) to get x
100/1.7268862911796=x
57.907692307692=x
x=57.907692307692

now we have:
75.28 is 57.907692307692% of 130