You can move it easily via the MyAccount page ( here).
Lately, Microsoft has been associating licenses with the client’s email account (not with the hardware). Note: Keep in mind that the above conditions don’t apply to the new Office 365 subscriptions or to Office 2016. Only “retail” and “FPP” license types are transferable.
Your license type needs to be transferable.You need to own the 25 character Product key that was given to you when you purchased the license.