15.25 is what percent of 37.25 - 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 37.25 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 37.25, so we can write it down as 100%=37.25.
4. We know, that x% equals 15.25 of the output value, so we can write it down as x%=15.25.
5. Now we have two simple equations:
1) 100%=37.25
2) x%=15.25
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%=37.25/15.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.25 is what percent of 37.25

100%/x%=37.25/15.25
(100/x)*x=(37.25/15.25)*x       - we multiply both sides of the equation by x
100=2.4426229508197*x       - we divide both sides of the equation by (2.4426229508197) to get x
100/2.4426229508197=x
40.939597315436=x
x=40.939597315436

now we have:
15.25 is 40.939597315436% of 37.25