Is the battery OEM, or third party?  Third party batteries often lack the circuit necessary to communicate status with the system.  
I installed a battery replacement today on my Dell 13-5368. The battery indicator stays on but, the Windows 10 system tray battery status indictor reads "Fully charged 100%". I have run the battery down to 20-30% and recharged it back up to 100% multiple times. The indictor light never goes out, though that what it's supposed to do once the charge reaches 100%. All the battery tools tell me it is functioning properly. [IMAGE]
Dell 13-5368 battery indicator stays on