646.6 is what percent of 2500 - 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 2500 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 2500, so we can write it down as 100%=2500.
4. We know, that x% equals 646.6 of the output value, so we can write it down as x%=646.6.
5. Now we have two simple equations:
1) 100%=2500
2) x%=646.6
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%=2500/646.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 646.6 is what percent of 2500

100%/x%=2500/646.6
(100/x)*x=(2500/646.6)*x       - we multiply both sides of the equation by x
100=3.866377977111*x       - we divide both sides of the equation by (3.866377977111) to get x
100/3.866377977111=x
25.864=x
x=25.864

now we have:
646.6 is 25.864% of 2500