20.82 is what percent of 137.6 - 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 137.6 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 137.6, so we can write it down as 100%=137.6.
4. We know, that x% equals 20.82 of the output value, so we can write it down as x%=20.82.
5. Now we have two simple equations:
1) 100%=137.6
2) x%=20.82
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%=137.6/20.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.82 is what percent of 137.6

100%/x%=137.6/20.82
(100/x)*x=(137.6/20.82)*x       - we multiply both sides of the equation by x
100=6.6090297790586*x       - we divide both sides of the equation by (6.6090297790586) to get x
100/6.6090297790586=x
15.130813953488=x
x=15.130813953488

now we have:
20.82 is 15.130813953488% of 137.6