56.72 is what percent of 60.2 - 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 60.2 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 60.2, so we can write it down as 100%=60.2.
4. We know, that x% equals 56.72 of the output value, so we can write it down as x%=56.72.
5. Now we have two simple equations:
1) 100%=60.2
2) x%=56.72
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%=60.2/56.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.72 is what percent of 60.2

100%/x%=60.2/56.72
(100/x)*x=(60.2/56.72)*x       - we multiply both sides of the equation by x
100=1.0613540197461*x       - we divide both sides of the equation by (1.0613540197461) to get x
100/1.0613540197461=x
94.21926910299=x
x=94.21926910299

now we have:
56.72 is 94.21926910299% of 60.2