I have been thoroughly impressed with Deja Dup backup software. I support non-technical people on Linux and I also do a lot of things on Linux myself. I mostly use Gnome and I use Linux because it works, not because I want to tinker around all the time, though I still enjoy doing that from time to time.
A good backup solution should have sane fire and forget workflows that get the important things right and eliminate factors for user-introduced error into the backup process. The Interface for Deja Dup is about as idiot proof as you can make backup software, and it's integration into Gnome keeps things simple.
Here are the things I consider most valuable in Deja Dup:
Turnkey simplicity for setting up regular automated backups the right way
Built-in automatic encryption by default
Automatic compression by default
Automatic incremental backups
A wide array of storage targets, many of which are non-local
Very easy methods of adding and ignoring specific directories
In other words, I get safe, secure backups that don't take up a lot of space and just work out of the box the right way. I don't have to think too hard about them and they have all the right settings that I want in a backup solution. This means that I'm less likely to make mistakes, and it takes less work from me or the end-user, meaning that it's much more likely backups will occur.
This is the backup software we've been looking for.