I do not take scheduled days off, but let them happen "organically". I typically am training 5.5 days a week. I will typically miss one day a week and every other week miss two days. It can be because of being stuck in the office, travel or going to the lake etc.
Even on vacation, I try to find a gym. I think I got so far behind taking off a year with health issues, I am so happy to be in the gym I don't want a week off. I do not train near as heavy as in the past and that may reduce my need for a break, I don't really know. One thing I do is hold pretty tight to a fifty minute weight training, 30 min cardio daily. No more two hour "puke" sessions for me, I will leave that to you younger bucks.
I am planning a trip to the beach in the next couple of weeks and I do think the place I will end up is twenty miles from gym, so I may take that week off just to see what it does. Chasing my Chihuahuas up and down the beach is usually enough exercise!