Rough Guesstimates
As a reference, for an eight-pound .30-'06 firing a 150-grain bullet, the recoil is 27 (IIRC) pounds of force. (Whether I'm right or wrong, the units don't matter.)
So: You can compare any cartridge by taking the ratio of the product of bullet weight times velocity, to any other cartridge.
Arbitrary example: Compare a .30-'06 firing a 150-grain bullet at 3,000 ft/sec with a .243 firing a 100-grain bullet at 3,000 ft/sec. (I love to cheat and make it easy.) 150 X 3,000 divided by 100 X 3,000 = 1.5; this means an '06 has about 50% more kick than a .243.
So, some critter firing a 450-grain bullet at 2,500 ft/sec, compared to the '06 example, would have 2-1/2 times the recoil of an '06. (Yuck!
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Now, if you factor in the weights of the particular guns, you'll get a bit more accuracy in the comparative numbers; it's common for bigger critters to weigh more, which reduces the *effective* recoil.
Like I say, this is rough, but it'll do for basic comparisons. "Close enough for Government Work."
, Art