iPad 1 iOS update not working

I have an iPad 1 with an almost fully updated iOS 8. I have an iOS update that is supposed to fix something about ringtones and security. I have the prompt that is asking me to download it, but when I do so, after hitting around 80- 85%, it says "Software update failed" and asks me to try it again.

I have been "Trying again" for the past hour, running this around 8 times, and I have pretty much given up. Memory is still plenty on the iPad 1, so I don't understand what's the issue here. I have the iPad plugged in to the wall, and I have really fast Wi-Fi in here.