36.5 is what 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 100% equals 165, so we can write it down as 100%=165.
4. We know, that x% equals 36.5 of the output value, so we can write it down as x%=36.5.
5. Now we have two simple equations:
1) 100%=165
2) x%=36.5
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%=165/36.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.5 is what percent of 165

100%/x%=165/36.5
(100/x)*x=(165/36.5)*x       - we multiply both sides of the equation by x
100=4.5205479452055*x       - we divide both sides of the equation by (4.5205479452055) to get x
100/4.5205479452055=x
22.121212121212=x
x=22.121212121212

now we have:
36.5 is 22.121212121212% of 165