57.15 is what percent of 13.97 - 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 13.97 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 13.97, so we can write it down as 100%=13.97.
4. We know, that x% equals 57.15 of the output value, so we can write it down as x%=57.15.
5. Now we have two simple equations:
1) 100%=13.97
2) x%=57.15
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%=13.97/57.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.15 is what percent of 13.97

100%/x%=13.97/57.15
(100/x)*x=(13.97/57.15)*x       - we multiply both sides of the equation by x
100=0.24444444444444*x       - we divide both sides of the equation by (0.24444444444444) to get x
100/0.24444444444444=x
409.09090909091=x
x=409.09090909091

now we have:
57.15 is 409.09090909091% of 13.97