16.2 is what percent of 102.2 - 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 102.2 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 102.2, so we can write it down as 100%=102.2.
4. We know, that x% equals 16.2 of the output value, so we can write it down as x%=16.2.
5. Now we have two simple equations:
1) 100%=102.2
2) x%=16.2
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%=102.2/16.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.2 is what percent of 102.2

100%/x%=102.2/16.2
(100/x)*x=(102.2/16.2)*x       - we multiply both sides of the equation by x
100=6.3086419753086*x       - we divide both sides of the equation by (6.3086419753086) to get x
100/6.3086419753086=x
15.851272015656=x
x=15.851272015656

now we have:
16.2 is 15.851272015656% of 102.2