400.85 is what percent of 2667 - 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 2667 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 2667, so we can write it down as 100%=2667.
4. We know, that x% equals 400.85 of the output value, so we can write it down as x%=400.85.
5. Now we have two simple equations:
1) 100%=2667
2) x%=400.85
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%=2667/400.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 400.85 is what percent of 2667

100%/x%=2667/400.85
(100/x)*x=(2667/400.85)*x       - we multiply both sides of the equation by x
100=6.653361606586*x       - we divide both sides of the equation by (6.653361606586) to get x
100/6.653361606586=x
15.029996250469=x
x=15.029996250469

now we have:
400.85 is 15.029996250469% of 2667