If you want to Backup an Installation and Restore it on a New Server (For eg. If you want a Backup of your WordPress Installation.)
1) Backup the Wordpress installation as shown in the figure below.
2) Then Click on the "Backup Installation" button.
3) Go to the Backups page.
4) Then download the Backup from the backups page.
5) In this case the file downloaded is named "wp.344.2011-05-11_07-20-46.zip" Here "344" is the installation id.
6) Now on your new server go to Wordpress and make a dummy installation with the same "Directory Name" and "Database Name". In this case it is "wp" and "wp".
7) Note the installation id of the dummy installation. You can do this by clicking on the backup link and check the URL the last characters will be the installation id. Here YOUR SOFTACULOUS URL/index.live.php?act=backup&insid=346 this is the URL and 346 is the installation id.
8) Now replace the current installation id in the backup zip that you downloaded it was "wp.344.2011-05-11_07-20-46.zip" and now it becomes "wp.346.2011-05-11_07-20-46.zip".
9) Copy this backup zip on your new server at the following path /home/USERNAME/softaculous_backups/
10) Now go to the Backups page again.
11) You can see the installation with the new installation id. Just Restore that installation as shown in the figure below and your Old installation is Restored and ready to use.