57.25 is what percent of 752.6 - 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 752.6 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 752.6, so we can write it down as 100%=752.6.
4. We know, that x% equals 57.25 of the output value, so we can write it down as x%=57.25.
5. Now we have two simple equations:
1) 100%=752.6
2) x%=57.25
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%=752.6/57.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.25 is what percent of 752.6

100%/x%=752.6/57.25
(100/x)*x=(752.6/57.25)*x       - we multiply both sides of the equation by x
100=13.145851528384*x       - we divide both sides of the equation by (13.145851528384) to get x
100/13.145851528384=x
7.6069625298964=x
x=7.6069625298964

now we have:
57.25 is 7.6069625298964% of 752.6