iPhone 5 shutting down with battery life, then saying no battery
My iPhone 5 has been randomly shutting down (usually with around 10-20% battery remaining), then it gives the dead battery icon until I plug it in. Once I plug it in, it immediately says its got the same battery as before it died. Ive tried deleting apps, tried a factory reset, tried turning off battery consuming processes (push, location awareness, etc.) I am not able to understand the crash reports, but maybe someone else could get some insight there? Do I need to replace the battery itself? Im fine to do that, but something tells me this is a software problem and not a hardware problem. I am really looking for a better way to diagnose the software problem, if that is what it is. I have iOS 7.04, and I dont recall having this problem before iOS7.