What is 33.33 percent of 33.3 - 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 33.3 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 33.3 is 100%, so we can write it down as 33.3=100%.
4. We know, that x is 33.33% of the output value, so we can write it down as x=33.33%.
5. Now we have two simple equations:
1) 33.3=100%
2) x=33.33%
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:
33.3/x=100%/33.33%
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 33.33% of 33.3

33.3/x=100/33.33
(33.3/x)*x=(100/33.33)*x       - we multiply both sides of the equation by x
33.3=3.000300030003*x       - we divide both sides of the equation by (3.000300030003) to get x
33.3/3.000300030003=x
11.09889=x
x=11.09889

now we have:
33.33% of 33.3=11.09889