13.39 is what percent of 148.79 - 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 148.79 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 148.79, so we can write it down as 100%=148.79.
4. We know, that x% equals 13.39 of the output value, so we can write it down as x%=13.39.
5. Now we have two simple equations:
1) 100%=148.79
2) x%=13.39
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%=148.79/13.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.39 is what percent of 148.79

100%/x%=148.79/13.39
(100/x)*x=(148.79/13.39)*x       - we multiply both sides of the equation by x
100=11.112023898432*x       - we divide both sides of the equation by (11.112023898432) to get x
100/11.112023898432=x
8.9992607030042=x
x=8.9992607030042

now we have:
13.39 is 8.9992607030042% of 148.79