72.5 is what percent of 327 - 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 327 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 327, so we can write it down as 100%=327.
4. We know, that x% equals 72.5 of the output value, so we can write it down as x%=72.5.
5. Now we have two simple equations:
1) 100%=327
2) x%=72.5
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%=327/72.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.5 is what percent of 327

100%/x%=327/72.5
(100/x)*x=(327/72.5)*x       - we multiply both sides of the equation by x
100=4.5103448275862*x       - we divide both sides of the equation by (4.5103448275862) to get x
100/4.5103448275862=x
22.17125382263=x
x=22.17125382263

now we have:
72.5 is 22.17125382263% of 327