12.17 is what percent of 18.54 - 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 18.54 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 18.54, so we can write it down as 100%=18.54.
4. We know, that x% equals 12.17 of the output value, so we can write it down as x%=12.17.
5. Now we have two simple equations:
1) 100%=18.54
2) x%=12.17
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%=18.54/12.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.17 is what percent of 18.54

100%/x%=18.54/12.17
(100/x)*x=(18.54/12.17)*x       - we multiply both sides of the equation by x
100=1.5234182415776*x       - we divide both sides of the equation by (1.5234182415776) to get x
100/1.5234182415776=x
65.641855447681=x
x=65.641855447681

now we have:
12.17 is 65.641855447681% of 18.54