13.92 is what percent of 38.7 - 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 38.7 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 38.7, so we can write it down as 100%=38.7.
4. We know, that x% equals 13.92 of the output value, so we can write it down as x%=13.92.
5. Now we have two simple equations:
1) 100%=38.7
2) x%=13.92
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%=38.7/13.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.92 is what percent of 38.7

100%/x%=38.7/13.92
(100/x)*x=(38.7/13.92)*x       - we multiply both sides of the equation by x
100=2.7801724137931*x       - we divide both sides of the equation by (2.7801724137931) to get x
100/2.7801724137931=x
35.968992248062=x
x=35.968992248062

now we have:
13.92 is 35.968992248062% of 38.7