104.78 is what percent of 3664.13 - 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 3664.13 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 3664.13, so we can write it down as 100%=3664.13.
4. We know, that x% equals 104.78 of the output value, so we can write it down as x%=104.78.
5. Now we have two simple equations:
1) 100%=3664.13
2) x%=104.78
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%=3664.13/104.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.78 is what percent of 3664.13

100%/x%=3664.13/104.78
(100/x)*x=(3664.13/104.78)*x       - we multiply both sides of the equation by x
100=34.969746134759*x       - we divide both sides of the equation by (34.969746134759) to get x
100/34.969746134759=x
2.8596146970768=x
x=2.8596146970768

now we have:
104.78 is 2.8596146970768% of 3664.13