If you are properly weighted with a known tank (model/size), then it should be very straightforward to calculate how much weight to wear with a different tank...so long as you know what the buoyancy characteristics are for each empty tank.
Step #1: Use your favorite tank specs chart. I like this one from TDL:
TECHDIVINGLIMITED.COM
Step #2: Find the "empty buoyancy" characteristics of each tank.
Step #3: Calculate the difference in empty buoyancy weight.
For instance, let's say that you use 13 lbs. lead with your HP80 steel tank = PST E7-80 tank (empty buoyancy, -2.5 lbs.). You want to know how much total lead to carry with a PST E7-120 tank (empty buoyancy, 0 lbs.). You would have to carry an extra 2.5 lbs. of lead with your "new" PST E7-120. Thus, you would need to carry a total of 15.5 lbs. of lead with the PST E7-120. Understand that, intuitively, you were probably thinking that changing to a larger capacity tank would allow you to take
off some lead. That would
not be the case with this example.
You say that you have your weight requirements "dialed in" for the HP80 tank. Please make sure that you have determined this using a near empty tank and wearing all your normal gear.
As others have pointed out, the "dry" weight of a tank means absolutely nothing with regard to its buoyancy characteristics. However, the "dry" weight
will matter when you're carrying the tank to/from your car, LDS, boat, etc.
If you don't trust the calculations...or cannot properly identify the tank(s), then you should simply do a full-blown weight check.
Have fun and dive safe.