104.28 is what percent of 783.2 - 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 783.2 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 783.2, so we can write it down as 100%=783.2.
4. We know, that x% equals 104.28 of the output value, so we can write it down as x%=104.28.
5. Now we have two simple equations:
1) 100%=783.2
2) x%=104.28
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%=783.2/104.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.28 is what percent of 783.2

100%/x%=783.2/104.28
(100/x)*x=(783.2/104.28)*x       - we multiply both sides of the equation by x
100=7.5105485232068*x       - we divide both sides of the equation by (7.5105485232068) to get x
100/7.5105485232068=x
13.314606741573=x
x=13.314606741573

now we have:
104.28 is 13.314606741573% of 783.2