36.75 is what percent of 165.75 - 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 165.75 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 165.75, so we can write it down as 100%=165.75.
4. We know, that x% equals 36.75 of the output value, so we can write it down as x%=36.75.
5. Now we have two simple equations:
1) 100%=165.75
2) x%=36.75
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%=165.75/36.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.75 is what percent of 165.75

100%/x%=165.75/36.75
(100/x)*x=(165.75/36.75)*x       - we multiply both sides of the equation by x
100=4.5102040816327*x       - we divide both sides of the equation by (4.5102040816327) to get x
100/4.5102040816327=x
22.171945701357=x
x=22.171945701357

now we have:
36.75 is 22.171945701357% of 165.75