Hi Stephane,
The Floating license type means that you can activate the license on a computer that will be considered as a License Manager PC for each computer where AQtime is going to be used. See [url=http://support.smartbear.com/viewarticle/43538/]this[/url] article to learn more about the way the licensing system works.
[quote]we do not use license server[/quote]
Is your old License Manager PC available? If it is, you can [url=http://support.smartbear.com/viewarticle/43551/]deactivate the license[/url] and move it to the needed computer.