19.8 is what percent of 165 - 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 165 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 165, so we can write it down as 100%=165.
4. We know, that x% equals 19.8 of the output value, so we can write it down as x%=19.8.
5. Now we have two simple equations:
1) 100%=165
2) x%=19.8
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%=165/19.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.8 is what percent of 165

100%/x%=165/19.8
(100/x)*x=(165/19.8)*x       - we multiply both sides of the equation by x
100=8.3333333333333*x       - we divide both sides of the equation by (8.3333333333333) to get x
100/8.3333333333333=x
12=x
x=12

now we have:
19.8 is 12% of 165