What is 33.3333 percent of 165 - 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 165 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 165 is 100%, so we can write it down as 165=100%.
4. We know, that x is 33.3333% of the output value, so we can write it down as x=33.3333%.
5. Now we have two simple equations:
1) 165=100%
2) x=33.3333%
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:
165/x=100%/33.3333%
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 33.3333% of 165

165/x=100/33.3333
(165/x)*x=(100/33.3333)*x       - we multiply both sides of the equation by x
165=3.000003000003*x       - we divide both sides of the equation by (3.000003000003) to get x
165/3.000003000003=x
54.999945=x
x=54.999945

now we have:
33.3333% of 165=54.999945