13.02 is what percent of 80.72 - 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 80.72 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 80.72, so we can write it down as 100%=80.72.
4. We know, that x% equals 13.02 of the output value, so we can write it down as x%=13.02.
5. Now we have two simple equations:
1) 100%=80.72
2) x%=13.02
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%=80.72/13.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.02 is what percent of 80.72

100%/x%=80.72/13.02
(100/x)*x=(80.72/13.02)*x       - we multiply both sides of the equation by x
100=6.1996927803379*x       - we divide both sides of the equation by (6.1996927803379) to get x
100/6.1996927803379=x
16.129831516353=x
x=16.129831516353

now we have:
13.02 is 16.129831516353% of 80.72