I've been having the same issue as everybody else on my iPhone 6.
The problem of the phone shutting down from 20 to 45% started after updating to iOS 10
I have a smart battery case and I've noticed that when I put the case on the iPhone 6 at around 20% the battery on the phone immediately jumps to 40 or 50%
My conclusion is that this problem is a software issue & since it's mainly affecting iPhone 6 and 6s owners I don't think Apple are motivated to fix the problem. I'm sure they would be happier if people upgrade to the 7
The problem of the phone shutting down from 20 to 45% started after updating to iOS 10
I have a smart battery case and I've noticed that when I put the case on the iPhone 6 at around 20% the battery on the phone immediately jumps to 40 or 50%
My conclusion is that this problem is a software issue & since it's mainly affecting iPhone 6 and 6s owners I don't think Apple are motivated to fix the problem. I'm sure they would be happier if people upgrade to the 7