How to deactivate SU so it can be used on a new computer?

There are two types of activations, depending on what you bought:
Classic or Subscription
Classic deactivations need to be done on the machine itself, not by deinstalling the software but by removing a license in the help menu or welcome screen.

Subscription activations can be cleared in a browser, y going into the AMP (myaccount.trimble.com) and choosing ‘My Products’ > View Included Apps > manage devices

What do you have?