i have never been able to get an xbox 360 controller to work on any version of windows 7 or higher. You have to jump through a lot of hoops on anything between xp and 7. I wish you the best of luck.
And I'm talking strictly ffxi here. it will work on some of the other games and stuff.
It should be completely plug and play on 8/8.1/10 as far as the controller function and OS are concerned. There may be other config stuff needed for FFXI or to use it wirelessly, but a wired 360 controller is considered a native peripheral for Windows 8 and newer, and fully supported for 7, whatever the heck that means.