520.48 is what percent of 752.28 - 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 752.28 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 752.28, so we can write it down as 100%=752.28.
4. We know, that x% equals 520.48 of the output value, so we can write it down as x%=520.48.
5. Now we have two simple equations:
1) 100%=752.28
2) x%=520.48
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%=752.28/520.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 520.48 is what percent of 752.28

100%/x%=752.28/520.48
(100/x)*x=(752.28/520.48)*x       - we multiply both sides of the equation by x
100=1.445358130956*x       - we divide both sides of the equation by (1.445358130956) to get x
100/1.445358130956=x
69.187004838624=x
x=69.187004838624

now we have:
520.48 is 69.187004838624% of 752.28