683.34 is what 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 100% equals 2000, so we can write it down as 100%=2000.
4. We know, that x% equals 683.34 of the output value, so we can write it down as x%=683.34.
5. Now we have two simple equations:
1) 100%=2000
2) x%=683.34
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:
100%/x%=2000/683.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 683.34 is what percent of 2000

100%/x%=2000/683.34
(100/x)*x=(2000/683.34)*x       - we multiply both sides of the equation by x
100=2.9268007141394*x       - we divide both sides of the equation by (2.9268007141394) to get x
100/2.9268007141394=x
34.167=x
x=34.167

now we have:
683.34 is 34.167% of 2000