104.36 is what percent of 365.24 - 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 365.24 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 365.24, so we can write it down as 100%=365.24.
4. We know, that x% equals 104.36 of the output value, so we can write it down as x%=104.36.
5. Now we have two simple equations:
1) 100%=365.24
2) x%=104.36
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%=365.24/104.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.36 is what percent of 365.24

100%/x%=365.24/104.36
(100/x)*x=(365.24/104.36)*x       - we multiply both sides of the equation by x
100=3.4998083556918*x       - we divide both sides of the equation by (3.4998083556918) to get x
100/3.4998083556918=x
28.572993100427=x
x=28.572993100427

now we have:
104.36 is 28.572993100427% of 365.24