72.08 is what percent of 359.04 - 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 359.04 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 359.04, so we can write it down as 100%=359.04.
4. We know, that x% equals 72.08 of the output value, so we can write it down as x%=72.08.
5. Now we have two simple equations:
1) 100%=359.04
2) x%=72.08
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%=359.04/72.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.08 is what percent of 359.04

100%/x%=359.04/72.08
(100/x)*x=(359.04/72.08)*x       - we multiply both sides of the equation by x
100=4.9811320754717*x       - we divide both sides of the equation by (4.9811320754717) to get x
100/4.9811320754717=x
20.075757575758=x
x=20.075757575758

now we have:
72.08 is 20.075757575758% of 359.04