13.92 is what percent of 2007.35 - 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 2007.35 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 2007.35, so we can write it down as 100%=2007.35.
4. We know, that x% equals 13.92 of the output value, so we can write it down as x%=13.92.
5. Now we have two simple equations:
1) 100%=2007.35
2) x%=13.92
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%=2007.35/13.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.92 is what percent of 2007.35

100%/x%=2007.35/13.92
(100/x)*x=(2007.35/13.92)*x       - we multiply both sides of the equation by x
100=144.20617816092*x       - we divide both sides of the equation by (144.20617816092) to get x
100/144.20617816092=x
0.6934515654968=x
x=0.6934515654968

now we have:
13.92 is 0.6934515654968% of 2007.35