Add new admin user to MySQL I have inherited a MySQL instance currently being used by an enterprise software suite. I have no idea what the credentials are for any account, but have full admin rights to the server that the instance is installed on.

I am not very knowledgeable about MySQL. Is there any way I can either add a new admin user or find out the details of an existing user of some kind?

I have looked in what seems to be the my.conf file I think is being used, but there are only various directories and server ports being set there.
You should look into resetting the root password.
Normally the root user shouldn't be used for any enterprise package, however "shouldn't" isn't much of a guarantee.

Your first action SHOULD be to ask around for the root password or look in whatever password storage your company might be using. 

If all else fails and you have to reset the passwored, you can find out how here.
Alternatively you could use --skip-grant-tables, and create a new admin user, however this is very insecure, and would be best done during a maintenance window with restriction of the network access.