What is 33.3 percent of 33.5 - 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 33.5 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 33.5 is 100%, so we can write it down as 33.5=100%.
4. We know, that x is 33.3% of the output value, so we can write it down as x=33.3%.
5. Now we have two simple equations:
1) 33.5=100%
2) x=33.3%
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:
33.5/x=100%/33.3%
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 33.3% of 33.5

33.5/x=100/33.3
(33.5/x)*x=(100/33.3)*x       - we multiply both sides of the equation by x
33.5=3.003003003003*x       - we divide both sides of the equation by (3.003003003003) to get x
33.5/3.003003003003=x
11.1555=x
x=11.1555

now we have:
33.3% of 33.5=11.1555