12.14 is what percent of 125 - 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 125 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 125, so we can write it down as 100%=125.
4. We know, that x% equals 12.14 of the output value, so we can write it down as x%=12.14.
5. Now we have two simple equations:
1) 100%=125
2) x%=12.14
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%=125/12.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.14 is what percent of 125

100%/x%=125/12.14
(100/x)*x=(125/12.14)*x       - we multiply both sides of the equation by x
100=10.296540362438*x       - we divide both sides of the equation by (10.296540362438) to get x
100/10.296540362438=x
9.712=x
x=9.712

now we have:
12.14 is 9.712% of 125