The As Fed numbers (which are often on the can) do not usually show carbs. They include moisture.
To get carbs (when they aren't listed), you would sum up the reported As Fed percentages and subtract them from 100%.
You would use that missing amount as the % carbs.
For Soulistic chicken, you would have 9.55%protein, 8.17%, fat, 1%carbs. These are the nutrients providing calories, metabolizable energy.
We want our diabetic kitties to get most of their calories from protein and fat, not from carbs.
To get percent dry matter, subtract the moisture percent from 100%. For Soulistic chicken, this is 100-80.2=19.8.
To get protein % dry matter, 9.55/19.8=43.23%
To get fat % dry matter, 8.17/19.8=41.26%
To get carbs % dry matter, 1/19.8=5.05%
These 3 nutrients provide the metabolizable energy.
There is some variation for numbers to use as calories per gram of protein, fat, carb.
Let's use 4,9,4. (or 5.65,9.44,3.94)(or4,9.44,3.94)(protein digestion consumes some calories, so the 5.65 is reduced to 4 or something in between)
Total calories per gram=.4323*4+.4126*9+.0505*4=5.6446 calories per gram of dry matter,
1.7292 calories from protein per gram of dry matter, or 1.7292/(1.7292+3.7134+.202)=30.63% (vs table saying 31.43%)
3.7134 calories from fat per gram of dry matter, or 3.7134/(1.7292+3.7134+.202)=65.79% (vs table saying 65.3%)
.202 calories from carbs per gram of dry matter, or .202/(1.7292+3.7134+.202)=3.579% (vs table saying 3.29%)
1 gram=.0352739619 oz
There are .198 grams of dry matter per gram of wet food.
To get calories per ounce of wet food, (5.6446 calories per gram of dry matter) * (.198 grams of dry matter per gram of wet food)=1.1176 calories per gram of wet food.
(1.1176 calories per gram)/(.0352739619 oz per gram)=31.683 kcal per ounce of wet food
This gives me 95 kcal per 3 oz can, which is slightly off. Oh well. I might look at this later but it is very close.
(I'm using kcal and calories interchangeably.)
For CKD kitties, the dry matter is 0.83% phosphorus.
So for 1 gram of dry matter, there are .0083 grams of phosphorus.
That means .0083 grams of phosphorus per 5.6446 calories=.0083/5.6446=.001470 grams of phosphorus per calorie or .147 grams of phosphorus per 100 calories.
.147=147 mg. Dr. Pierson's table says 154 mg. Pretty close.
Probably I didn't do this as efficiently as possible. Might rewrite it when I have time.