It is my humble opinion that undue reliance on these battery stats is unjustified and that you have to look to overall battery life in the context of use. The percentages shown are not unlike mine, yet I get superlative life depending on my usage. When I am home on the weekends, where I have wifi and a microcell, such that all signals are top quality, I use 1-1.5% per hour. When I am out and about without wifi, spending my day in areas of better and worse coverages, I use 3-4% per hour. When I sit at home in the evening and use watchon (or touchsquid, which I like better) as my tv remote to flip channels and change volume, I use more power more quickly.
Go into Google Maps and turn location reporting and history off.
Generally turn off things you dont use, air view, nfc, s-beam and the like.
Dont set up things in Google now you dont really use, do you really need to know the time it takes to get to work?
Turn off notifications in apps that you dont really need or are redundant, how many different ways do you need to know the temperature?
Reboot from time to time, I usually do it at least every two to three days.
Our phones are android devices with lots of stuff built on google services, expect it to use power.
Finally, uninstalling updates and letting google play reinstall them can really help. If its greyed out out, do you have auto-update turned on? Do you check for updates available that auto-update wont do?