Iphone 6S IOS10.11 shutdown @ 46% battery

@BZEGRL Apple just announced in the last 24 hours that they will replace the battery in certain 6s iPhones that are exhibiting this problem.

http://money.cnn.com/2016/11/21/technology/apple-iphone-6s-battery-fix-china/index.html

Apple Launches Repair Program for iPhone 6s Devices Experiencing Unexpected Shutdowns  

http://www.macrumors.com/2016/11/20/iphone-6s-shutdown-repair-program/

Not really but you might try forcing a hard restart...

That may help...

How to force restart

You should force restart your iPhone, iPad, or iPod touch as a last resort, and only if it's not responding. Follow these steps to force restart your device:

On an iPhone 7 or iPhone 7 Plus: Press and hold both the Sleep/Wake and Volume Down buttons for at least ten seconds, until you see the Apple logo.
On an iPhone 6s and earlier, iPad, or iPod touch: Press and hold both the Sleep/Wake and Home buttons for at least ten seconds, until you see the Apple logo.

 I just tried the hard restart.  The slide bar did not appear.  The screen when black, then white with the apple logo, and then to my lock screen.

The phone shutting off when the battery gauge is showing more than a few % would indicate one of a few things.  Unlike alkaline batteries, Lithium Ion batteries do not have a linear decrease in output from the max 3.7V to 0V,  they will stay at nearly 100% output then suddenly drop sharply to 0%.  The devices know the capacity of their batteries, and they estimate their power consumption, and use that to estimate how much battery is remaining.  The software will calibrate the battery gauge based on the capacity of the battery and the usage it's had so far.

1. Your phone battery is bad.  If the battery is bad, it will drop to 0% unexpectedly well before the device thinks it's really at 0% thus causing the gauge to show 40%, but the battery is really dead.
2. The software has a bug in estimating the power consumption, thus causing the battery gauge to display the wrong amount in the battery gauge.  In some cases, the software thinks there is more power remaining in the battery than there is, and sometimes it thinks there is less.

I'm sure that there are other possibilities, but these are likely the two most common.  I have my old iPhone 6 which has issues with the battery gauge under iOS 10.  The phone battery gauge shows the battery level dropping rapidly, and will reach 23% in a matter of less than an hour.  If I plug it into a charger, it will rapidly jump all the way back up to 70% in a minute or two.  I took my iPhone to Apple for service (the AppleCare+ was still active at the time) and their diagnostics reported that the battery was fine (it wasn't a bad battery), so all indications were that it was a battery gauge problem, or a software problem.  I tried to perform a battery gauge calibration, and it seemed to improve a little, but not much.  Next I performed a factory reset, and it helped quite a bit more, but it is still showing drain faster than what the battery appears to really be draining.  I think that this is a software bug in iOS 10, but I have no proof of this.

Thanks for that info Jerry B.  I will take it to Apple to have them check the battery and see what else can be done.  I did reset all the settings the other day and ended up with more problems.  But that's whole other post for those issues.  Thanks again, really appreciate your input.

My iphone 6 has shut down several times while the battery showed charged but they said my phone does not qualify for the replacement battery. Also, when receiving a text my phone will not vibrate or emit a ring tone. I've rebooted it and changed the ring tone but nothing seems to work

Apple is not immune from the laws of physics.  Batteries are consumable items and wear out. Bring it to an Apple store and have the battery replaced. Because of all the negative publicity Apple received lately, they are reducing the price of battery replacement.  Or, if you're handy, you can do it yourself. Plenty of guides and kits out there. And yet another option is to patronize a shop in your local mall like a cellaris.