36.55 is what percent of 100 - 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 100 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 100, so we can write it down as 100%=100.
4. We know, that x% equals 36.55 of the output value, so we can write it down as x%=36.55.
5. Now we have two simple equations:
1) 100%=100
2) x%=36.55
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%=100/36.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.55 is what percent of 100

100%/x%=100/36.55
(100/x)*x=(100/36.55)*x       - we multiply both sides of the equation by x
100=2.7359781121751*x       - we divide both sides of the equation by (2.7359781121751) to get x
100/2.7359781121751=x
36.55=x
x=36.55

now we have:
36.55 is 36.55% of 100