6692.4 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 6692.4 of the output value, so we can write it down as x%=6692.4.
5. Now we have two simple equations:
1) 100%=2000
2) x%=6692.4
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%=2000/6692.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6692.4 is what percent of 2000

100%/x%=2000/6692.4
(100/x)*x=(2000/6692.4)*x       - we multiply both sides of the equation by x
100=0.29884645269261*x       - we divide both sides of the equation by (0.29884645269261) to get x
100/0.29884645269261=x
334.62=x
x=334.62

now we have:
6692.4 is 334.62% of 2000