18.18 is what percent of 106.7 - 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 106.7 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 106.7, so we can write it down as 100%=106.7.
4. We know, that x% equals 18.18 of the output value, so we can write it down as x%=18.18.
5. Now we have two simple equations:
1) 100%=106.7
2) x%=18.18
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%=106.7/18.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.18 is what percent of 106.7

100%/x%=106.7/18.18
(100/x)*x=(106.7/18.18)*x       - we multiply both sides of the equation by x
100=5.8690869086909*x       - we divide both sides of the equation by (5.8690869086909) to get x
100/5.8690869086909=x
17.038425492034=x
x=17.038425492034

now we have:
18.18 is 17.038425492034% of 106.7