2916.67 is what percent of 6000 - 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 6000 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 6000, so we can write it down as 100%=6000.
4. We know, that x% equals 2916.67 of the output value, so we can write it down as x%=2916.67.
5. Now we have two simple equations:
1) 100%=6000
2) x%=2916.67
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%=6000/2916.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2916.67 is what percent of 6000

100%/x%=6000/2916.67
(100/x)*x=(6000/2916.67)*x       - we multiply both sides of the equation by x
100=2.0571405061251*x       - we divide both sides of the equation by (2.0571405061251) to get x
100/2.0571405061251=x
48.611166666667=x
x=48.611166666667

now we have:
2916.67 is 48.611166666667% of 6000