I am visiting Hong Kong in October and I was wondering how do I get from the international airport to the Nathan hotel and how much does it cost. Thanks

Not sure where the Nathan Hotel is, but you will find that there is a very good fast rail link from CLK into HK island. This connects with the underground system. Cost is inexpensive.

The best, most inexpensive and scenic route is to take the #A21 City Flyer bus from the airport. It costs $33.00 and will stop at Jordan station on Nathan Road which is right near the hotel. The other option is the Aiport express which costs more though about 15 minutes less time than the bus. Either way, get an octopus card at the airport. If you use the airport express to get to your hotel then you can buy the octopus card with the airpost express fare built in. The two times I've been to HK I've taken the City Flyer bus and never been disappointed. It's a great ride.

I just wanted to clarify that it is $33 Hong Kong dollars which is a bargain.

"Inexpensive" is a relative term. Cheaper way would be to take airport bus A21 to Hung Hom then take metro to Jordan MTR station and walking, or take a taxi from there.

Good interactive map here:
http://www.booking.com/hotel/hk/nathan.html?aid=311076;label=hotel-55031-hk-vGU0VlR09oGISh_KW2eTkwS671951604;ws=&gclid=CJHbtLTs0ZMCFRMJewodBT2Ijg

I checked again. Yes, A21 stops at Jordan on Nathan Road. A22 also goes to Jordan, but it's dearer.
http://www.nwstbus.com.hk/content/default.aspx?intLangID=1&section=routes&page=cityflyerRoute

City Flyer bus is the cheapest way from Airport to Nathan Road, you can check the exactly price and station over here.

http://www.hongkongairport.com/eng/aguide/bus.html

For A21, which is HK$33 (around US$4.2).

No worry you don't know how to get off the bus, since it will announce in both Chinese and English in the bus, so you will know what is the next station. It will take you around 1 hour from Airport to Nathan Road.