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I stopped charging at 8am and after 2 hours(wifi and bluetooth on) here is my battery screenshot. There are 2 problems as you can see, it says 1 hour 37 min remaining battery life but it lasts at least 18-20 hours(with %50 screen brightness) and second thing is android system uses %4 and my screen(ekran) uses %60.
Thanks for posting and welcome to the forum! 
Since the picture posted uses a language I'm not common with it's a bit tricky sorting out all the parameters first of all.
But, that the screen uses the most of the battery performance doesn't have to be a problem or fault in any way. Neither that the Android OS uses 4%.
What you can try in this case to "solve" it is performing a repair of your phone's software.
You can easily perform the interaction with our program Sony PC Companion, available for download from the link below.
http://www.sonymobile.com/gb/tools/pc-companion/
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i have the same problem and pc companion tool does not fix it at all ;(
The problem is with the battery indicator .
First thing the battery menu show a statistic of battery usage and how much time is left till 0% ...
the problem is that when the battery shows 1 % this statistic show unrealistic time like 22 h left on battery ?!?!
Sometimes my battery indicator shows 100% percent and after i unplug the phone from the recharger fot one minute
it drops to 0% anf turn off. In other cases my phone does not charge to 100% instead it stays on 1% and then i can use my phone for a couple of hours
with 1% battery ?!?! My sony xperia s is charging differrently - sometimes the battery goes for one minute to 100% (which obviously is not true)
and other times its stays at 1% (but then i have small amount of charge for couple of hours) . I tried repairing it with sony repair tool ... but the only thing it does is clean reinstall and the problem is still there. Please sony give me an advice or try to help me . I love sony as a brand ,and im very happy with my xperia s till now. The phone does not have a single scrath . Its in perfect condition please help !