What is 33.9 percent of 33 - 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 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 is 100%, so we can write it down as 33=100%.
4. We know, that x is 33.9% of the output value, so we can write it down as x=33.9%.
5. Now we have two simple equations:
1) 33=100%
2) x=33.9%
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/x=100%/33.9%
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 33.9% of 33

33/x=100/33.9
(33/x)*x=(100/33.9)*x       - we multiply both sides of the equation by x
33=2.9498525073746*x       - we divide both sides of the equation by (2.9498525073746) to get x
33/2.9498525073746=x
11.187=x
x=11.187

now we have:
33.9% of 33=11.187