112.39 is what percent of 1239.19 - 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 1239.19 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 1239.19, so we can write it down as 100%=1239.19.
4. We know, that x% equals 112.39 of the output value, so we can write it down as x%=112.39.
5. Now we have two simple equations:
1) 100%=1239.19
2) x%=112.39
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%=1239.19/112.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.39 is what percent of 1239.19

100%/x%=1239.19/112.39
(100/x)*x=(1239.19/112.39)*x       - we multiply both sides of the equation by x
100=11.025803007385*x       - we divide both sides of the equation by (11.025803007385) to get x
100/11.025803007385=x
9.0696341965316=x
x=9.0696341965316

now we have:
112.39 is 9.0696341965316% of 1239.19