Phone shuts off with 30% or 40% battery life remaining
After updating my iPhone 5 to iOS 8, my phone shuts off before my battery gets to 1%. My battery will be at 30% or 40% and randomly shut off. When I plug my phone in to turn it on, the battery is still at 30% or 40%. I have also updated iOS 8.0.2 hoping it would fix the problem but nothing has changed. It seems like it is getting worse and that my phone is dying with more battery life. HELP!
iPhone 5, iOS 8