35.11 is what percent of 33.66 - 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 33.66 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 33.66, so we can write it down as 100%=33.66.
4. We know, that x% equals 35.11 of the output value, so we can write it down as x%=35.11.
5. Now we have two simple equations:
1) 100%=33.66
2) x%=35.11
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%=33.66/35.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.11 is what percent of 33.66

100%/x%=33.66/35.11
(100/x)*x=(33.66/35.11)*x       - we multiply both sides of the equation by x
100=0.9587012247223*x       - we divide both sides of the equation by (0.9587012247223) to get x
100/0.9587012247223=x
104.30778371955=x
x=104.30778371955

now we have:
35.11 is 104.30778371955% of 33.66