What is 16.6666666669 percent of 2000 - 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 2000 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 2000 is 100%, so we can write it down as 2000=100%.
4. We know, that x is 16.6666666669% of the output value, so we can write it down as x=16.6666666669%.
5. Now we have two simple equations:
1) 2000=100%
2) x=16.6666666669%
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:
2000/x=100%/16.6666666669%
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 16.6666666669% of 2000

2000/x=100/16.6666666669
(2000/x)*x=(100/16.6666666669)*x       - we multiply both sides of the equation by x
2000=5.999999999916*x       - we divide both sides of the equation by (5.999999999916) to get x
2000/5.999999999916=x
333.333333338=x
x=333.333333338

now we have:
16.6666666669% of 2000=333.333333338