12.95 is what percent of 107.95 - 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 107.95 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 107.95, so we can write it down as 100%=107.95.
4. We know, that x% equals 12.95 of the output value, so we can write it down as x%=12.95.
5. Now we have two simple equations:
1) 100%=107.95
2) x%=12.95
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%=107.95/12.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.95 is what percent of 107.95

100%/x%=107.95/12.95
(100/x)*x=(107.95/12.95)*x       - we multiply both sides of the equation by x
100=8.3359073359073*x       - we divide both sides of the equation by (8.3359073359073) to get x
100/8.3359073359073=x
11.996294580824=x
x=11.996294580824

now we have:
12.95 is 11.996294580824% of 107.95