21.37 is what percent of 82.04 - 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 82.04 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 82.04, so we can write it down as 100%=82.04.
4. We know, that x% equals 21.37 of the output value, so we can write it down as x%=21.37.
5. Now we have two simple equations:
1) 100%=82.04
2) x%=21.37
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%=82.04/21.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.37 is what percent of 82.04

100%/x%=82.04/21.37
(100/x)*x=(82.04/21.37)*x       - we multiply both sides of the equation by x
100=3.8390266729059*x       - we divide both sides of the equation by (3.8390266729059) to get x
100/3.8390266729059=x
26.048269137006=x
x=26.048269137006

now we have:
21.37 is 26.048269137006% of 82.04