13.16 is what percent of 129.83 - 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 129.83 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 129.83, so we can write it down as 100%=129.83.
4. We know, that x% equals 13.16 of the output value, so we can write it down as x%=13.16.
5. Now we have two simple equations:
1) 100%=129.83
2) x%=13.16
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%=129.83/13.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.16 is what percent of 129.83

100%/x%=129.83/13.16
(100/x)*x=(129.83/13.16)*x       - we multiply both sides of the equation by x
100=9.8655015197568*x       - we divide both sides of the equation by (9.8655015197568) to get x
100/9.8655015197568=x
10.136332126627=x
x=10.136332126627

now we have:
13.16 is 10.136332126627% of 129.83