57.5 is what percent of 180.5 - 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 180.5 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 180.5, so we can write it down as 100%=180.5.
4. We know, that x% equals 57.5 of the output value, so we can write it down as x%=57.5.
5. Now we have two simple equations:
1) 100%=180.5
2) x%=57.5
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%=180.5/57.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.5 is what percent of 180.5

100%/x%=180.5/57.5
(100/x)*x=(180.5/57.5)*x       - we multiply both sides of the equation by x
100=3.1391304347826*x       - we divide both sides of the equation by (3.1391304347826) to get x
100/3.1391304347826=x
31.85595567867=x
x=31.85595567867

now we have:
57.5 is 31.85595567867% of 180.5