18 is what percent of 102.86 - 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 102.86 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 102.86, so we can write it down as 100%=102.86.
4. We know, that x% equals 18 of the output value, so we can write it down as x%=18.
5. Now we have two simple equations:
1) 100%=102.86
2) x%=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%=102.86/18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18 is what percent of 102.86

100%/x%=102.86/18
(100/x)*x=(102.86/18)*x       - we multiply both sides of the equation by x
100=5.7144444444444*x       - we divide both sides of the equation by (5.7144444444444) to get x
100/5.7144444444444=x
17.499513902392=x
x=17.499513902392

now we have:
18 is 17.499513902392% of 102.86