Your dog may have a food allergy. Science diet foods including their skin and coat food is corn based and dogs are often allergic to corn.
Sensitive Skin Adult food from Hills has these ingredients
Brewers rice, corn meal, corn gluten meal, chicken by-product meal, dried egg product, vegetable oil, animal fat (preserved with mixed tocopherols and citric acid), flaxseed, chicken liver flavor, DL-methionine, L-lysine, L-tryptophan, preserved with mixed tocopherols and citric acid, minerals (potassium chloride, dicalcium phosphate, salt, calcium carbonate, ferrous sulfate, zinc oxide, copper sulfate, manganous oxide, calcium iodate, sodium selenite), rosemary extract, beta-carotene, vitamins (choline chloride, vitamin A supplement, vitamin D3 supplement, vitamin E supplement, L-ascorbyl-2-polyphosphate (a source of vitamin C), niacin, thiamine mononitrate, calcium pantothenate, pyridoxine hydrochloride, riboflavin, folic acid, biotin, vitamin B12 supplement).
Many dogs are allergic to corn and to eggs! and for some the mixed tocopherols used as a preservative can cause a problem.
You might do better to swap your dog to Evo or California Natural or Wellness Fish and Potato to see if that resolves the problem for you.
If its a food allergy it can take some time for a food change to show relief and you have to not give the dog 'treats' unless its the same formula as the food you are trying.
Hope this helps you!
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