What is 33 percent of 33.333333333333 - 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 33.333333333333 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 33.333333333333 is 100%, so we can write it down as 33.333333333333=100%.
4. We know, that x is 33% of the output value, so we can write it down as x=33%.
5. Now we have two simple equations:
1) 33.333333333333=100%
2) x=33%
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:
33.333333333333/x=100%/33%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 33% of 33.333333333333

33.333333333333/x=100/33
(33.333333333333/x)*x=(100/33)*x       - we multiply both sides of the equation by x
33.333333333333=3.030303030303*x       - we divide both sides of the equation by (3.030303030303) to get x
33.333333333333/3.030303030303=x
11=x
x=11

now we have:
33% of 33.333333333333=11