Welcome to Android Central! It would help to see your battery screens. Wait until the battery has gotten down from 100% to 20-30%, then show us the following:
1. The main Battery stats screen (Settings>Battery).
2. The fullscreen battery graph (which shows Awake time, and cell signal strength).
3. The Screen category, to see your total Screen-on time.
4. The Cell Standby category (if present), to see your Time without Signal.