One way or another, I'd say 80% our household organic matter goes into compost. Any coffee grounds, fruit peels, etc. goes into my back yard compost bin along with yard waste. No meat etc. of course.
Some food waste goes through the garbage disposal in the kitchen sink, then to wastewater in the sewer, then to the treatment plant. Along with other (ahem . . .) waste solids. Together, those go to a hot composting process, with community yard waste. I do buy, and use, this finished compost, very good stuff, over many years, never had a problem with it; inexpensive too, $20 per cubic yard.
The 20% that does not get composted? Raw meat scraps (plus vegetable waste my family insists on binning instead of composting; can't win 'em all, discretion is the better part of valor).