The Droid Maxx is a bit older of technology and was notorious for having charging and metering issues where the meter and battery get out of sync, and the actual State of Charge (SOC), wasn't being reflected accurately.
The known solution which has a high rate of success is;
- Use the phone until it gets to the SOC where it tells you to actually tells you to plug into the charger.
- Then power the phone completely off (hold power button, wait for prompt to power off, press and the phone will power off completely).
- Then plug into the charger while powered off and allow it to enter into "charge-only mode". It will display a battery icon with an indication of the current SOC, then the display will go black.
- Allow it to charge fully (3.5 to 5.5 hours), and if you wish to check its progress, you can tap either the up or down volume controls BUT NOT the power button. It will momentarily flash the battery icon and display a percentage of charge.
- Once it reaches 100% using this method, you can disconnect from the charger, power the phone up and use as normal.
- Again, use it until it tells you to connect to the charger and repeat steps 2 through 5. This should be the last time you need to do this and it should function normally from there on.