39.6 is what percent of 129.6 - 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 129.6 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 129.6, so we can write it down as 100%=129.6.
4. We know, that x% equals 39.6 of the output value, so we can write it down as x%=39.6.
5. Now we have two simple equations:
1) 100%=129.6
2) x%=39.6
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%=129.6/39.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.6 is what percent of 129.6

100%/x%=129.6/39.6
(100/x)*x=(129.6/39.6)*x       - we multiply both sides of the equation by x
100=3.2727272727273*x       - we divide both sides of the equation by (3.2727272727273) to get x
100/3.2727272727273=x
30.555555555556=x
x=30.555555555556

now we have:
39.6 is 30.555555555556% of 129.6