57.27 is what percent of 1052.16 - 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 1052.16 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 1052.16, so we can write it down as 100%=1052.16.
4. We know, that x% equals 57.27 of the output value, so we can write it down as x%=57.27.
5. Now we have two simple equations:
1) 100%=1052.16
2) x%=57.27
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%=1052.16/57.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.27 is what percent of 1052.16

100%/x%=1052.16/57.27
(100/x)*x=(1052.16/57.27)*x       - we multiply both sides of the equation by x
100=18.371922472499*x       - we divide both sides of the equation by (18.371922472499) to get x
100/18.371922472499=x
5.4430885036496=x
x=5.4430885036496

now we have:
57.27 is 5.4430885036496% of 1052.16