684.03 is what percent of 2007.83 - 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 2007.83 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 2007.83, so we can write it down as 100%=2007.83.
4. We know, that x% equals 684.03 of the output value, so we can write it down as x%=684.03.
5. Now we have two simple equations:
1) 100%=2007.83
2) x%=684.03
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%=2007.83/684.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 684.03 is what percent of 2007.83

100%/x%=2007.83/684.03
(100/x)*x=(2007.83/684.03)*x       - we multiply both sides of the equation by x
100=2.9352952355891*x       - we divide both sides of the equation by (2.9352952355891) to get x
100/2.9352952355891=x
34.068123297291=x
x=34.068123297291

now we have:
684.03 is 34.068123297291% of 2007.83