You want to start with years and end with kilograms of dog food.
1 yr → kg dog food
The sequence must be
1 yr → days → cups of food → grams of food → kilograms of food
At each step, you use a conversion factor (CF) to get the result you want.
Each CF must have
•on top the units of the result you want
•on the bottom, the units of the preceding term
Your sequence now becomes
Time = 1 yr × (no. of days/yr) × (no. of cups/day) × (g dog food/cup)
× (kg dog food/g dog food) = kg dog food
Notice that the denominator of a CF always cancels the units of the one before it.
Do you get something like 100 kg dog food?