36.72 is what percent of 164.41 - 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 164.41 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 164.41, so we can write it down as 100%=164.41.
4. We know, that x% equals 36.72 of the output value, so we can write it down as x%=36.72.
5. Now we have two simple equations:
1) 100%=164.41
2) x%=36.72
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%=164.41/36.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.72 is what percent of 164.41

100%/x%=164.41/36.72
(100/x)*x=(164.41/36.72)*x       - we multiply both sides of the equation by x
100=4.4773965141612*x       - we divide both sides of the equation by (4.4773965141612) to get x
100/4.4773965141612=x
22.334407882732=x
x=22.334407882732

now we have:
36.72 is 22.334407882732% of 164.41