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Do you keep WiFi on all the time?
what has used up most of the battery?
settings > about phone > status > signal strength > what do you see?
Hi @Import,
In this situation I would advise to fully charge the unit to 100%. Once the unit is fully charged use the unit as normal till it reaches around 5-10%.
Once it reaches this amount I would advise to check in Settings > Battery > Show Battery usage, take screenshots of this page and post them here.
This will give us an accurate idea of what part of the phone is using what amount of battery. Once we have this information we can then identify the best course of action or troubleshooting.
I used to have something like this with my Nexus 5, and it was caused by the Google Account Sync stuck in a state where it will keep on trying and it fails every time.
Go into Settings->Account And Sync->Google
If there are any errors there, try to disable and enable it back.