What is 0.333333 percent of 16.5 - 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 16.5 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 16.5 is 100%, so we can write it down as 16.5=100%.
4. We know, that x is 0.333333% of the output value, so we can write it down as x=0.333333%.
5. Now we have two simple equations:
1) 16.5=100%
2) x=0.333333%
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:
16.5/x=100%/0.333333%
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 0.333333% of 16.5

16.5/x=100/0.333333
(16.5/x)*x=(100/0.333333)*x       - we multiply both sides of the equation by x
16.5=300.0003000003*x       - we divide both sides of the equation by (300.0003000003) to get x
16.5/300.0003000003=x
0.054999945=x
x=0.054999945

now we have:
0.333333% of 16.5=0.054999945