12.99 is what percent of 111.96 - 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 111.96 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 111.96, so we can write it down as 100%=111.96.
4. We know, that x% equals 12.99 of the output value, so we can write it down as x%=12.99.
5. Now we have two simple equations:
1) 100%=111.96
2) x%=12.99
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%=111.96/12.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.99 is what percent of 111.96

100%/x%=111.96/12.99
(100/x)*x=(111.96/12.99)*x       - we multiply both sides of the equation by x
100=8.6189376443418*x       - we divide both sides of the equation by (8.6189376443418) to get x
100/8.6189376443418=x
11.602357984995=x
x=11.602357984995

now we have:
12.99 is 11.602357984995% of 111.96