12.94 is what percent of 106 - 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 106 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 106, so we can write it down as 100%=106.
4. We know, that x% equals 12.94 of the output value, so we can write it down as x%=12.94.
5. Now we have two simple equations:
1) 100%=106
2) x%=12.94
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%=106/12.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.94 is what percent of 106

100%/x%=106/12.94
(100/x)*x=(106/12.94)*x       - we multiply both sides of the equation by x
100=8.1916537867079*x       - we divide both sides of the equation by (8.1916537867079) to get x
100/8.1916537867079=x
12.207547169811=x
x=12.207547169811

now we have:
12.94 is 12.207547169811% of 106