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Could you post some screenshots, charge your phone 100% > use it as you normally would > let it drain to 50% or 10% then take the following screenshots
settings > power management > battery > take a screenshot of this list > tap on the top 5 items on the list post how many hours/seconds each of the top 5 items were running
tap on the graph > take a screenshot
post them all here
You should also see this:
/t5/Xperia-Z2/Battery-drains-faster-with-Lollipop/m-p/957521#M24272
There's nothing wrong with your battery. The screen has drain most of the battery, that's normal.
I have left you a link, after an update or a software repair,you should wait several days to get the battery and device to work as intended.