11.89 is what percent of 108.07 - 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 108.07 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 108.07, so we can write it down as 100%=108.07.
4. We know, that x% equals 11.89 of the output value, so we can write it down as x%=11.89.
5. Now we have two simple equations:
1) 100%=108.07
2) x%=11.89
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%=108.07/11.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.89 is what percent of 108.07

100%/x%=108.07/11.89
(100/x)*x=(108.07/11.89)*x       - we multiply both sides of the equation by x
100=9.0891505466779*x       - we divide both sides of the equation by (9.0891505466779) to get x
100/9.0891505466779=x
11.002128250208=x
x=11.002128250208

now we have:
11.89 is 11.002128250208% of 108.07