What is 8.33333333333 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 8.33333333333% of the output value, so we can write it down as x=8.33333333333%.
5. Now we have two simple equations:
1) 2000=100%
2) x=8.33333333333%
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%/8.33333333333%
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 8.33333333333% of 2000

2000/x=100/8.33333333333
(2000/x)*x=(100/8.33333333333)*x       - we multiply both sides of the equation by x
2000=12.000000000005*x       - we divide both sides of the equation by (12.000000000005) to get x
2000/12.000000000005=x
166.6666666666=x
x=166.6666666666

now we have:
8.33333333333% of 2000=166.6666666666