13.08 is what percent of 158.39 - 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 158.39 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 158.39, so we can write it down as 100%=158.39.
4. We know, that x% equals 13.08 of the output value, so we can write it down as x%=13.08.
5. Now we have two simple equations:
1) 100%=158.39
2) x%=13.08
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%=158.39/13.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.08 is what percent of 158.39

100%/x%=158.39/13.08
(100/x)*x=(158.39/13.08)*x       - we multiply both sides of the equation by x
100=12.109327217125*x       - we divide both sides of the equation by (12.109327217125) to get x
100/12.109327217125=x
8.2580971020898=x
x=8.2580971020898

now we have:
13.08 is 8.2580971020898% of 158.39