This is a tall order.
With the differences in muzzle velocity between different cartridges, there is some general correlation, but no "definitive equation".
The Sierra 40gr Hollow Point "varminter" is a good case in point. It is the best shooting bullet in my Ruger 77/22 KBZ in .22Hornet. At 3,000fps, I've taken a volumn of deer I won't mention as I been accused of lying, or "exageration" by one who challenged me,,,, once....(I used in while participation in a research project while working for the State....) It expands modestly, shoots rather flat, -by comparison to other "Hornet bullets". On the other hand, at 4,100fps from my .22-250, the bullet takes on an entirely different character. It "explodes" prararie dogs to excess of 400yds (where it has slowed down to "Hornet muzzle" levels). It is also rather accurate from the 1/14" twist of the .22-250. But, run it though a 1/7" twist AR-15, depending on the barrel, It may not even hit a 25yd target due to "vaporizing" in flight due to high rate of twist and 3,700fps muzzle velocities........
Ditto the .257wbyMag with the 100gr Hornady Soft Point Interlok. I've had this bullet drive completely through a 200+lb 10pt buck that I took at 270yds in 1983 from a custom-built .257Roberts at a muzzle velocity of 2,850fps. I broke both shoulders, busted the spine and exited with a 1" exit wound. Compare that to a 110lb doe I shot two days ago. Range was 90yds from the .257wbymag at a m/v of about 3,600fps (shoots like a laser beam to 400yds). Bullet didn't exit without hitting a rib on a lung/liver shot. Bullet was balled up under the hide on the far side. Weighs 64gr for 64% weight retention and looks like a Hornady advertisement from the '80's. But, the insides of the deer from the lungs to the large intestines was "mush". I field dressed the deer by hanging it from the gambrel. The insides just "ran out"......
To stay on topic, I've had the 55gr and 60gr Hornady .224" soft points peform similarily from .22Hornet vs. .223Rem. vs. .22-250.
Terms like "blitz" (Sierra), SX -(super explosive- Hornady), ect. will tip you off to a thin jacket and low tin core.
Terms such as "Trophy bonded bear-claw", or "Hammer Head" or A-frame, or "Bonded" or Partition construction will tip you off to a bullet than is "stoutly" constructed for limited expansion and deep penetration.
In other words..... It depends......!
(on muzzle velocity, barrel twist, and range to impact...)