How to install Percona Server 5.7 on Debian/Ubuntu without a root password prompt

In the last few months, I had to install Percona Server 5.7 (PS5.7) on Debian a few times.  I was regularly annoyed by apt-get -y install percona-server-server-5.7 prompting me for a password.  But that annoyance did not push me to investigate the subject in detail: it was always a quick manual fix and Googling did not lead to a straightforward solution.  However in the last days, I had to install PS5.7 on many servers, so it was worth finding how to do this.  I am writing this post in the hope that it will help some people...