Hi! Welcome!
It depends on screen time? If you go back to the screen that shows the battery time, click/touch on the word "screen" section running. This will take you to another screen. That will tell you how much screen time the phone is using. It sounds like your off to a great start. I have the Note 3 on sprint, with the kitkat update. So, I'm running 14-16hrs with 6-8hrs of screen time, 18-22hrs with 3-5hrs of screen time. I've read "recently" that you should charge it around 10-15% and not let it completely discharge. I'll let others chime in on that. It's conflicting on what you read. I usually plug it in around 5-10%. Sometimes I'll forget and it will completely discharge. It's not bad, the phone works and recharges nicely with the 3.0 charge cable. It's the point of making the battery last years instead of just a year or two.
Palm Treo line > BlackBerry line > Samsung Galaxy S line > NOW the awesome & powerful Samsung Galaxy Note 3!