72.56 is what percent of 328.2 - 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 328.2 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 328.2, so we can write it down as 100%=328.2.
4. We know, that x% equals 72.56 of the output value, so we can write it down as x%=72.56.
5. Now we have two simple equations:
1) 100%=328.2
2) x%=72.56
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%=328.2/72.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.56 is what percent of 328.2

100%/x%=328.2/72.56
(100/x)*x=(328.2/72.56)*x       - we multiply both sides of the equation by x
100=4.5231532524807*x       - we divide both sides of the equation by (4.5231532524807) to get x
100/4.5231532524807=x
22.108470444851=x
x=22.108470444851

now we have:
72.56 is 22.108470444851% of 328.2