12.79 is what percent of 16 - 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 16 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 16, so we can write it down as 100%=16.
4. We know, that x% equals 12.79 of the output value, so we can write it down as x%=12.79.
5. Now we have two simple equations:
1) 100%=16
2) x%=12.79
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%=16/12.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.79 is what percent of 16

100%/x%=16/12.79
(100/x)*x=(16/12.79)*x       - we multiply both sides of the equation by x
100=1.250977326036*x       - we divide both sides of the equation by (1.250977326036) to get x
100/1.250977326036=x
79.9375=x
x=79.9375

now we have:
12.79 is 79.9375% of 16