I used to feed strictly dry with a couple wet meals a week. My cats would scarf the dry and act like they were starved the rest of the day. Searching out other sources of food, treats, bread, dog food anything they could get their little grubby paws on. I would lock them in my bedroom during the day it got so bad. Especially my little girl.
Now, I feed one dry meal and one wet meal and after 2 weeks of doing this, there is no searching out food, no getting into things they shouldn't. My little girl even just leaves her bowl without trying to steal food from the boys. I'm pleased at how much more content they are, and I feel better feeding them a greater variety as well.