What is 33.333 percent of 16.666 - 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 16.666 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 16.666 is 100%, so we can write it down as 16.666=100%.
4. We know, that x is 33.333% of the output value, so we can write it down as x=33.333%.
5. Now we have two simple equations:
1) 16.666=100%
2) x=33.333%
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:
16.666/x=100%/33.333%
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 33.333% of 16.666

16.666/x=100/33.333
(16.666/x)*x=(100/33.333)*x       - we multiply both sides of the equation by x
16.666=3.0000300003*x       - we divide both sides of the equation by (3.0000300003) to get x
16.666/3.0000300003=x
5.55527778=x
x=5.55527778

now we have:
33.333% of 16.666=5.55527778