684.8 is what percent of 2666.66 - 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 2666.66 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 2666.66, so we can write it down as 100%=2666.66.
4. We know, that x% equals 684.8 of the output value, so we can write it down as x%=684.8.
5. Now we have two simple equations:
1) 100%=2666.66
2) x%=684.8
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%=2666.66/684.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 684.8 is what percent of 2666.66

100%/x%=2666.66/684.8
(100/x)*x=(2666.66/684.8)*x       - we multiply both sides of the equation by x
100=3.8940712616822*x       - we divide both sides of the equation by (3.8940712616822) to get x
100/3.8940712616822=x
25.680064200161=x
x=25.680064200161

now we have:
684.8 is 25.680064200161% of 2666.66