33.18 is what percent of 199.07 - 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 199.07 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 199.07, so we can write it down as 100%=199.07.
4. We know, that x% equals 33.18 of the output value, so we can write it down as x%=33.18.
5. Now we have two simple equations:
1) 100%=199.07
2) x%=33.18
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%=199.07/33.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.18 is what percent of 199.07

100%/x%=199.07/33.18
(100/x)*x=(199.07/33.18)*x       - we multiply both sides of the equation by x
100=5.9996986136227*x       - we divide both sides of the equation by (5.9996986136227) to get x
100/5.9996986136227=x
16.667503893103=x
x=16.667503893103

now we have:
33.18 is 16.667503893103% of 199.07