13.96 is what percent of 37.91 - 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 37.91 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 37.91, so we can write it down as 100%=37.91.
4. We know, that x% equals 13.96 of the output value, so we can write it down as x%=13.96.
5. Now we have two simple equations:
1) 100%=37.91
2) x%=13.96
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%=37.91/13.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.96 is what percent of 37.91

100%/x%=37.91/13.96
(100/x)*x=(37.91/13.96)*x       - we multiply both sides of the equation by x
100=2.7156160458453*x       - we divide both sides of the equation by (2.7156160458453) to get x
100/2.7156160458453=x
36.824056977051=x
x=36.824056977051

now we have:
13.96 is 36.824056977051% of 37.91