What is 2016 percent of 0.333 - 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 0.333 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 0.333 is 100%, so we can write it down as 0.333=100%.
4. We know, that x is 2016% of the output value, so we can write it down as x=2016%.
5. Now we have two simple equations:
1) 0.333=100%
2) x=2016%
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:
0.333/x=100%/2016%
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 2016% of 0.333

0.333/x=100/2016
(0.333/x)*x=(100/2016)*x       - we multiply both sides of the equation by x
0.333=0.049603174603175*x       - we divide both sides of the equation by (0.049603174603175) to get x
0.333/0.049603174603175=x
6.71328=x
x=6.71328

now we have:
2016% of 0.333=6.71328