13.5 is what percent of 130406.32 - 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 130406.32 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 130406.32, so we can write it down as 100%=130406.32.
4. We know, that x% equals 13.5 of the output value, so we can write it down as x%=13.5.
5. Now we have two simple equations:
1) 100%=130406.32
2) x%=13.5
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%=130406.32/13.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.5 is what percent of 130406.32

100%/x%=130406.32/13.5
(100/x)*x=(130406.32/13.5)*x       - we multiply both sides of the equation by x
100=9659.7274074074*x       - we divide both sides of the equation by (9659.7274074074) to get x
100/9659.7274074074=x
0.010352259000944=x
x=0.010352259000944

now we have:
13.5 is 0.010352259000944% of 130406.32