This should be absolutely fine your Windows PC should pick up and install the correct drivers
for this without a problem.
Also you can download the drivers/software from here Software Downloads: Xbox 360 Controller for Windows
I myself use an unofficial Gaming receiver found here: http://www.ebay.co.uk/itm/USB-Wirele...#ht_5527wt_906
Which I installed simply by going to my device manager and telling my computer that there was an Xbox 360 gaming receiver plugged into a certain port (assigned the drivers) and I'm still using the Microsoft Controller software that shows battery life etc.