20.82 is what percent of 3725 - 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 3725 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 3725, so we can write it down as 100%=3725.
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%=3725
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%=3725/20.82
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 3725

100%/x%=3725/20.82
(100/x)*x=(3725/20.82)*x       - we multiply both sides of the equation by x
100=178.91450528338*x       - we divide both sides of the equation by (178.91450528338) to get x
100/178.91450528338=x
0.55892617449664=x
x=0.55892617449664

now we have:
20.82 is 0.55892617449664% of 3725