416.67 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 416.67 of the output value, so we can write it down as x%=416.67.
5. Now we have two simple equations:
1) 100%=2500
2) x%=416.67
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%=2500/416.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 416.67 is what percent of 2500

100%/x%=2500/416.67
(100/x)*x=(2500/416.67)*x       - we multiply both sides of the equation by x
100=5.999952000384*x       - we divide both sides of the equation by (5.999952000384) to get x
100/5.999952000384=x
16.6668=x
x=16.6668

now we have:
416.67 is 16.6668% of 2500