567.25 is what percent of 3725.5 - 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 3725.5 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 3725.5, so we can write it down as 100%=3725.5.
4. We know, that x% equals 567.25 of the output value, so we can write it down as x%=567.25.
5. Now we have two simple equations:
1) 100%=3725.5
2) x%=567.25
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%=3725.5/567.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 567.25 is what percent of 3725.5

100%/x%=3725.5/567.25
(100/x)*x=(3725.5/567.25)*x       - we multiply both sides of the equation by x
100=6.567650947554*x       - we divide both sides of the equation by (6.567650947554) to get x
100/6.567650947554=x
15.226144141726=x
x=15.226144141726

now we have:
567.25 is 15.226144141726% of 3725.5