33.17 is what percent of 100 - 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 100 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 100, so we can write it down as 100%=100.
4. We know, that x% equals 33.17 of the output value, so we can write it down as x%=33.17.
5. Now we have two simple equations:
1) 100%=100
2) x%=33.17
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%=100/33.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.17 is what percent of 100

100%/x%=100/33.17
(100/x)*x=(100/33.17)*x       - we multiply both sides of the equation by x
100=3.014772384685*x       - we divide both sides of the equation by (3.014772384685) to get x
100/3.014772384685=x
33.17=x
x=33.17

now we have:
33.17 is 33.17% of 100