36.04 is what percent of 156.08 - 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 156.08 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 156.08, so we can write it down as 100%=156.08.
4. We know, that x% equals 36.04 of the output value, so we can write it down as x%=36.04.
5. Now we have two simple equations:
1) 100%=156.08
2) x%=36.04
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%=156.08/36.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.04 is what percent of 156.08

100%/x%=156.08/36.04
(100/x)*x=(156.08/36.04)*x       - we multiply both sides of the equation by x
100=4.330743618202*x       - we divide both sides of the equation by (4.330743618202) to get x
100/4.330743618202=x
23.090722706304=x
x=23.090722706304

now we have:
36.04 is 23.090722706304% of 156.08