Here is a charge to 100% in our 2012 Signature Edition P85. Keep in mind the "range" on the Guess-O-Meter of any EV is altered by temperature, recent driving speeds and elevation changes. This was obtained after driving from Denver area to Cheyenne, Wyoming (a 2,000 foot climb in elevation) at 78 mph, for 100 miles, then parking outside, unplugged overnight, then "preconditioned" when morning cabin temperature was 40°, then driven for 20 minutes "preheating for Supercharging". That means there were multiple factors which could decrease the range calculation in this scenario. Since we were getting 220 - 230 real world miles with the old 85kWh battery before it failed, and the original rated range was 256 miles (under ideal conditions), which almost always got us from Supercharger to Supercharger when traveling across the country, the new predicted range seems reasonable. Note: I don't use "rated range" as for me it is not useful information. Also, most of the time I use %SOC (Percent State Of Charge) as that really is what is most relevant to inform me of how much power is available in the battery. This screenshot was taken after the first charge following returning home from the battery swap. I don't usually charge to 100% but was curious. Typically I set the charge limit to 80% in summer and 90% in colder months. The Service Center thought I should have a range of "just under 300 miles". I'm skeptical, but open minded to the possibility under ideal driving conditions. I'm sure at 55mph on flat terrain in warm weather it might do that, but where's the fun in that?
The bottom line for us without relying on specific quantification, following the battery swap, our Signature Red P85 has more range, charges faster, and has a battery which has a 4year/50,000 mile warranty. Also, if the SOC falls below 50% a few do a hard acceleration, the no longer shuts down because of the internal fault in the old out of warranty battery.
I've had people in other forums such as Facebook groups report ranges closer to 300 miles after they did a similar upgrade. So far, all of them live in warmer climates with flatter terrain, and they don't have 80mph posted speed limits in their localities.