524.71 is what percent of 1382.16 - 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 1382.16 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 1382.16, so we can write it down as 100%=1382.16.
4. We know, that x% equals 524.71 of the output value, so we can write it down as x%=524.71.
5. Now we have two simple equations:
1) 100%=1382.16
2) x%=524.71
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%=1382.16/524.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 524.71 is what percent of 1382.16

100%/x%=1382.16/524.71
(100/x)*x=(1382.16/524.71)*x       - we multiply both sides of the equation by x
100=2.6341407634693*x       - we divide both sides of the equation by (2.6341407634693) to get x
100/2.6341407634693=x
37.963043352434=x
x=37.963043352434

now we have:
524.71 is 37.963043352434% of 1382.16