12.72 is what percent of 57.28 - 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 57.28 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 57.28, so we can write it down as 100%=57.28.
4. We know, that x% equals 12.72 of the output value, so we can write it down as x%=12.72.
5. Now we have two simple equations:
1) 100%=57.28
2) x%=12.72
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%=57.28/12.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.72 is what percent of 57.28

100%/x%=57.28/12.72
(100/x)*x=(57.28/12.72)*x       - we multiply both sides of the equation by x
100=4.5031446540881*x       - we divide both sides of the equation by (4.5031446540881) to get x
100/4.5031446540881=x
22.206703910615=x
x=22.206703910615

now we have:
12.72 is 22.206703910615% of 57.28