104.4 is what percent of 747.13 - 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 747.13 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 747.13, so we can write it down as 100%=747.13.
4. We know, that x% equals 104.4 of the output value, so we can write it down as x%=104.4.
5. Now we have two simple equations:
1) 100%=747.13
2) x%=104.4
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%=747.13/104.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.4 is what percent of 747.13

100%/x%=747.13/104.4
(100/x)*x=(747.13/104.4)*x       - we multiply both sides of the equation by x
100=7.1564176245211*x       - we divide both sides of the equation by (7.1564176245211) to get x
100/7.1564176245211=x
13.973471818827=x
x=13.973471818827

now we have:
104.4 is 13.973471818827% of 747.13