I had exactly this on my phone and the culprit was Chrome automatically refreshing tabs in the background. What fixed it was going to Settings > Apps > Chrome > Permissions and disabling "Location" and "Camera" - lots of websites ask for these and drain battery for no reason. Then I went to Settings > Apps > Chrome > Battery and set it to "Restricted" or "Optimized," depending on what Samsung offered.
But before that, the most important thing is really to turn off continuous sync. Go into Chrome > Settings > Google Account > Sync Manager and uncheck everything you don't actually need (usually it's everything). If you want, just leave passwords synced. After that, check if you have loads of tabs open - each one uses RAM and battery even if you're not using it. Cut it down to what you actually need.
If that doesn't work, try uninstalling and reinstalling Chrome. Sometimes the app gets a bit corrupted after updates and reinstalling fixes it. In the meantime, try Firefox - it drains less battery in most cases.