That isn't a battery drop, it's a free-fall, with a thud at the bottom of the nice cliff that chart makes it look like. Jeez.
If you go to Settings-Battery (or Power or whatever) it should tell you what is draining the battery, If it is an app, you can look into Greenify, so that it runs only when you tell it to. They say Greenify needs root, but apparent;y someone I recommended it to has it on an unrooted junky-*** Galaxy S2 that is starting to break and fail, and it worked, so yeah. At the very least, it won't do anything, so it can't hurt to look into it.