16.5 is what percent of 192.8 - 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 192.8 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 192.8, so we can write it down as 100%=192.8.
4. We know, that x% equals 16.5 of the output value, so we can write it down as x%=16.5.
5. Now we have two simple equations:
1) 100%=192.8
2) x%=16.5
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%=192.8/16.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.5 is what percent of 192.8

100%/x%=192.8/16.5
(100/x)*x=(192.8/16.5)*x       - we multiply both sides of the equation by x
100=11.684848484848*x       - we divide both sides of the equation by (11.684848484848) to get x
100/11.684848484848=x
8.5580912863071=x
x=8.5580912863071

now we have:
16.5 is 8.5580912863071% of 192.8