When we lost two pets within a three month span, several people at my work were just so confused. They are just dogs......REALLY?!? No, they were furry family members and I grieved them as such. I still miss them and it's been over 3 years ago. I agree, non-pet people don't get it at all.
When I went to work Wednesday night, knowing it was probably Lady's last day, I told one of my co-workers when they asked how I was doing, "Not bad, I just probably have to go amputate my right hand tomorrow". Not being pet people, they didn't get it, and I just couldn't explain.