I see no one is really giving you actual answers on this yet, so here goes:
The answer is in the latter half of your sentence, here:
You are at 85% full. Recharging speed always slow down as batteries get more full.
No it isn't. This is the physics/chemistry of how most kinds of batteries work in their recharging process, and it has always been this way. Batteries can't take really fast charging speeds when they are getting nearly full. They slow down the power input to avoid damaging them.
It is much more than at your home.
You most definitely DO NOT get 40 kW at your home!! You aren't understanding the units difference between amps and kilowatts. Watts or kilowatts is volts multiplied by amps. So the number you see at home that says 40 is the amps. 240V times 40A is 9,600 watts, so that's a bit less than 10 kW. The Supercharger was giving more than double that power.