What is 36.3636363637 percent of 165 - 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 165 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 165 is 100%, so we can write it down as 165=100%.
4. We know, that x is 36.3636363637% of the output value, so we can write it down as x=36.3636363637%.
5. Now we have two simple equations:
1) 165=100%
2) x=36.3636363637%
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:
165/x=100%/36.3636363637%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 36.3636363637% of 165

165/x=100/36.3636363637
(165/x)*x=(100/36.3636363637)*x       - we multiply both sides of the equation by x
165=2.7499999999952*x       - we divide both sides of the equation by (2.7499999999952) to get x
165/2.7499999999952=x
60.000000000105=x
x=60.000000000105

now we have:
36.3636363637% of 165=60.000000000105