12.71 is what percent of 137.59 - 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 137.59 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 137.59, so we can write it down as 100%=137.59.
4. We know, that x% equals 12.71 of the output value, so we can write it down as x%=12.71.
5. Now we have two simple equations:
1) 100%=137.59
2) x%=12.71
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%=137.59/12.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.71 is what percent of 137.59

100%/x%=137.59/12.71
(100/x)*x=(137.59/12.71)*x       - we multiply both sides of the equation by x
100=10.825334382376*x       - we divide both sides of the equation by (10.825334382376) to get x
100/10.825334382376=x
9.2375899411294=x
x=9.2375899411294

now we have:
12.71 is 9.2375899411294% of 137.59