I'll give this a shot. Sorry, I'm not familiar with your bike's specs and didn't bother to look them up.
Power, measured in watts, is volts times amps. A fully charged battery has more volts than a depleted battery, but max amps drawn should be about constant, so power should have a linear relationship with voltage.
If you have a 48v battery, it should be something like 54v fully charged and maybe 42v depleted. Theoretically, that gives you (54-42)/54 or 22% less power from a depleted battery than a full one.
When you drop to a certain voltage, the bike will shut down to protect the battery. I think some bikes will limit available power near the end to save battery, so power might be reduced by much more than 22% at that point.
There are other factors. There's something called "voltage sag". While pulling a lot of amps, the voltage will actually drop temporarily and go back up after. The amount of sag can vary, depending on battery chemistry and quality.
I'd better stop here, before this post gets too long. Hope this helps!