33.09 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 33.09 of the output value, so we can write it down as x%=33.09.
5. Now we have two simple equations:
1) 100%=165
2) x%=33.09
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%=165/33.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.09 is what percent of 165

100%/x%=165/33.09
(100/x)*x=(165/33.09)*x       - we multiply both sides of the equation by x
100=4.9864007252947*x       - we divide both sides of the equation by (4.9864007252947) to get x
100/4.9864007252947=x
20.054545454545=x
x=20.054545454545

now we have:
33.09 is 20.054545454545% of 165