24.04 is what percent of 36.5 - 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 36.5 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 36.5, so we can write it down as 100%=36.5.
4. We know, that x% equals 24.04 of the output value, so we can write it down as x%=24.04.
5. Now we have two simple equations:
1) 100%=36.5
2) x%=24.04
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%=36.5/24.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.04 is what percent of 36.5

100%/x%=36.5/24.04
(100/x)*x=(36.5/24.04)*x       - we multiply both sides of the equation by x
100=1.518302828619*x       - we divide both sides of the equation by (1.518302828619) to get x
100/1.518302828619=x
65.86301369863=x
x=65.86301369863

now we have:
24.04 is 65.86301369863% of 36.5