5.72 is what percent of 38.13 - 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 38.13 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 38.13, so we can write it down as 100%=38.13.
4. We know, that x% equals 5.72 of the output value, so we can write it down as x%=5.72.
5. Now we have two simple equations:
1) 100%=38.13
2) x%=5.72
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%=38.13/5.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.72 is what percent of 38.13

100%/x%=38.13/5.72
(100/x)*x=(38.13/5.72)*x       - we multiply both sides of the equation by x
100=6.6660839160839*x       - we divide both sides of the equation by (6.6660839160839) to get x
100/6.6660839160839=x
15.001311303436=x
x=15.001311303436

now we have:
5.72 is 15.001311303436% of 38.13