36.6 is what percent of 177.5 - 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 177.5 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 177.5, so we can write it down as 100%=177.5.
4. We know, that x% equals 36.6 of the output value, so we can write it down as x%=36.6.
5. Now we have two simple equations:
1) 100%=177.5
2) x%=36.6
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%=177.5/36.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.6 is what percent of 177.5

100%/x%=177.5/36.6
(100/x)*x=(177.5/36.6)*x       - we multiply both sides of the equation by x
100=4.8497267759563*x       - we divide both sides of the equation by (4.8497267759563) to get x
100/4.8497267759563=x
20.619718309859=x
x=20.619718309859

now we have:
36.6 is 20.619718309859% of 177.5