32.72 is what percent of 225.25 - 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 225.25 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 225.25, so we can write it down as 100%=225.25.
4. We know, that x% equals 32.72 of the output value, so we can write it down as x%=32.72.
5. Now we have two simple equations:
1) 100%=225.25
2) x%=32.72
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%=225.25/32.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.72 is what percent of 225.25

100%/x%=225.25/32.72
(100/x)*x=(225.25/32.72)*x       - we multiply both sides of the equation by x
100=6.8841687041565*x       - we divide both sides of the equation by (6.8841687041565) to get x
100/6.8841687041565=x
14.526082130966=x
x=14.526082130966

now we have:
32.72 is 14.526082130966% of 225.25