I use tripod in the same way Danny describes.  Percent of times? I don't know.  But with some sorts of shots where shake will be a factor,including most shots with my longest lens, it is tripod 99%.  For walkabout, it is about 0%.

I also have a monopod used for short hikes in the wood, etc. and find it a fine asset when in low light or for slow shots of streams, water, etc..  The monopod works pretty well but does take getting accustomed to using.

I also have some wrist damage and a heavy lens can be tough without the added support.

Something is very true about a tripod allowing time to compose an image, such as a static landscape. Surprising how sight changes while surveying the scene can make a large difference in the out of camera shot. Time to think on such shots is a good thing.