9.12 is what percent of 111.9 - 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 111.9 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 111.9, so we can write it down as 100%=111.9.
4. We know, that x% equals 9.12 of the output value, so we can write it down as x%=9.12.
5. Now we have two simple equations:
1) 100%=111.9
2) x%=9.12
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%=111.9/9.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.12 is what percent of 111.9

100%/x%=111.9/9.12
(100/x)*x=(111.9/9.12)*x       - we multiply both sides of the equation by x
100=12.269736842105*x       - we divide both sides of the equation by (12.269736842105) to get x
100/12.269736842105=x
8.1501340482574=x
x=8.1501340482574

now we have:
9.12 is 8.1501340482574% of 111.9