What may make the Numbers different is the type of differential - some have Limited Slip (LSD) or use a regular standard differential - some models of other engines may also have a different Ring to Pinion ratio.
That only occurs due to level of engine - so since your engine is different - if you know the previous cars options - you can possibly run the VIN and find a manual to it and see the "shift points" for Manual Transmissions in their "Driving" section and look and compare to your own owners manual of the car you're putting it in.
If they use the same kph/MPH speeds - then more than likely it is the Same transmission set (I have to say "set" because the gearbox is housed in the transaxle case along with the clutch and the it's bell-housing). Else the optional types of operation the previous car had may also be stated in that manual to help you.
In many cases - you can just take the transaxle and use it in your vehicle with few problems for you will notice very little changes are going to be happening until you see how the RPM and the way it handles itself when you compare Standard transaxles to ones that have Limited Slip. The Pinion to Ring Gear also affects the shift points so that shows up in the manual as far as when or what speed to shift it at.
Again, if there are no changes between the two in their printed manuals - you should be ok to just swap.