266.4 is what percent of 404 - 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 404 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 404, so we can write it down as 100%=404.
4. We know, that x% equals 266.4 of the output value, so we can write it down as x%=266.4.
5. Now we have two simple equations:
1) 100%=404
2) x%=266.4
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%=404/266.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 266.4 is what percent of 404

100%/x%=404/266.4
(100/x)*x=(404/266.4)*x       - we multiply both sides of the equation by x
100=1.5165165165165*x       - we divide both sides of the equation by (1.5165165165165) to get x
100/1.5165165165165=x
65.940594059406=x
x=65.940594059406

now we have:
266.4 is 65.940594059406% of 404