In Kuali a user is called a Person and a department is called a Unit. a Person's profile is looked up via the Person Lookup.
In All Links, enter Person and select it from the pick list.
Search for the person and scroll to the bottom to view results.
Click [edit] to view or edit the Person's profile. The page will open and look like this:
Enter anything into the field called Description (at the top) such as "add" or "edit", and scroll to the section you want to change, in this case the Affiliations section, and add or edit as needed.
When done, scroll to the bottom and click the [Submit] button. Then click the [Close] button to return to the main menu.