57.13 is what percent of 185.37 - 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 185.37 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 185.37, so we can write it down as 100%=185.37.
4. We know, that x% equals 57.13 of the output value, so we can write it down as x%=57.13.
5. Now we have two simple equations:
1) 100%=185.37
2) x%=57.13
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%=185.37/57.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.13 is what percent of 185.37

100%/x%=185.37/57.13
(100/x)*x=(185.37/57.13)*x       - we multiply both sides of the equation by x
100=3.2447050586382*x       - we divide both sides of the equation by (3.2447050586382) to get x
100/3.2447050586382=x
30.819442196688=x
x=30.819442196688

now we have:
57.13 is 30.819442196688% of 185.37