116.66 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 116.66 of the output value, so we can write it down as x%=116.66.
5. Now we have two simple equations:
1) 100%=2500
2) x%=116.66
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%=2500/116.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.66 is what percent of 2500

100%/x%=2500/116.66
(100/x)*x=(2500/116.66)*x       - we multiply both sides of the equation by x
100=21.429795988342*x       - we divide both sides of the equation by (21.429795988342) to get x
100/21.429795988342=x
4.6664=x
x=4.6664

now we have:
116.66 is 4.6664% of 2500