To check if you have activated correctly, launch the program and:
For Windows: Choose 'About' in the Help menu and check the 'Registered to' field to see if you are activated or not:
For Mac: Click on the name of the program, choose "About product" option.
Note that you might also see your Activation key instead of 'Registered to' field. That might work if you need to move your licence to the new machine and do not remember your licence Activation key.