The backup file you made is simply another wallet.dat file with a new name.
To use your backup in a fresh install of Bitcoin-Qt:
-Shut down Bitcoin-Qt
-Find the wallet.dat file from the fresh install. It's usually located somewhere in C:\Users\Your-username\Appdata
-Delete the found wallet.dat file
-Put your backup in the folder where wallet.dat used to be
-Rename your backup to wallet.dat
-Start Bitcoin-Qt and it will use the backup as your current wallet, including it's contents
That is absolutely correct. Always be sure to encrypt your backup wallet file in case someone gets at it
