15023.38 is what percent of 38415.13 - 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 38415.13 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 38415.13, so we can write it down as 100%=38415.13.
4. We know, that x% equals 15023.38 of the output value, so we can write it down as x%=15023.38.
5. Now we have two simple equations:
1) 100%=38415.13
2) x%=15023.38
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%=38415.13/15023.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15023.38 is what percent of 38415.13

100%/x%=38415.13/15023.38
(100/x)*x=(38415.13/15023.38)*x       - we multiply both sides of the equation by x
100=2.5570231199637*x       - we divide both sides of the equation by (2.5570231199637) to get x
100/2.5570231199637=x
39.107976466564=x
x=39.107976466564

now we have:
15023.38 is 39.107976466564% of 38415.13