571.32 is what percent of 752.38 - 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 752.38 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 752.38, so we can write it down as 100%=752.38.
4. We know, that x% equals 571.32 of the output value, so we can write it down as x%=571.32.
5. Now we have two simple equations:
1) 100%=752.38
2) x%=571.32
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%=752.38/571.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 571.32 is what percent of 752.38

100%/x%=752.38/571.32
(100/x)*x=(752.38/571.32)*x       - we multiply both sides of the equation by x
100=1.3169152138906*x       - we divide both sides of the equation by (1.3169152138906) to get x
100/1.3169152138906=x
75.935032829155=x
x=75.935032829155

now we have:
571.32 is 75.935032829155% of 752.38