How to Save 100% of Americas Animal Shelter Dogs and Cats. The average shelter euthanizes 35% of the dogs and cats they take in. That 35% is classified as “Problem Behavior”. Sorry to say but at that classification, many humans would have to be put down as well. This must change. We can save one-third of all shelter animals if shelters devote more resources to retraining. The www.GreenPetsAmerica.org Charities “tag Line” since 2007 has been “Rescue -Retrain -Rehome” Retrain is how we will save America’s shelter animals.