If you add a database there, it will be "packagename_databasename". For me, if I were to create a database called "phpbb", it would be fdlm_phpbb, fdlm is the name of my website package.
Most software requiring a mysql database require 4 things:
Hostname: Check databases tab(screenshot below)
Database Name: See above
Username: Check databases tab(screenshot below)
Password: Check databases tab(screenshot below)
You can use the autoinstaller for phpmyadmin in your control panel to manipulate the databases. Once it is installed, navigate to the folder(usually your url then /phpmyadmin), login with the information on the databases tab.
If the database is for a game server, you must have "Allow external connections" checked.
If you need any further help please ask!