107.2 is what percent of 104.4 - 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 104.4 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 104.4, so we can write it down as 100%=104.4.
4. We know, that x% equals 107.2 of the output value, so we can write it down as x%=107.2.
5. Now we have two simple equations:
1) 100%=104.4
2) x%=107.2
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%=104.4/107.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.2 is what percent of 104.4

100%/x%=104.4/107.2
(100/x)*x=(104.4/107.2)*x       - we multiply both sides of the equation by x
100=0.97388059701493*x       - we divide both sides of the equation by (0.97388059701493) to get x
100/0.97388059701493=x
102.68199233716=x
x=102.68199233716

now we have:
107.2 is 102.68199233716% of 104.4