What is 33.333 percent of 19.8 - 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 19.8 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 19.8 is 100%, so we can write it down as 19.8=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) 19.8=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:
19.8/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 19.8

19.8/x=100/33.333
(19.8/x)*x=(100/33.333)*x       - we multiply both sides of the equation by x
19.8=3.0000300003*x       - we divide both sides of the equation by (3.0000300003) to get x
19.8/3.0000300003=x
6.599934=x
x=6.599934

now we have:
33.333% of 19.8=6.599934