365.74 is what percent of 9079.33 - 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 9079.33 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 9079.33, so we can write it down as 100%=9079.33.
4. We know, that x% equals 365.74 of the output value, so we can write it down as x%=365.74.
5. Now we have two simple equations:
1) 100%=9079.33
2) x%=365.74
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%=9079.33/365.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 365.74 is what percent of 9079.33

100%/x%=9079.33/365.74
(100/x)*x=(9079.33/365.74)*x       - we multiply both sides of the equation by x
100=24.824547492754*x       - we divide both sides of the equation by (24.824547492754) to get x
100/24.824547492754=x
4.0282708085288=x
x=4.0282708085288

now we have:
365.74 is 4.0282708085288% of 9079.33