Okay, I literally did this less than a month ago. If someone wanted a business Page but didn't have (nor want) a personal profile, Facebook allowed you to go here to create a Page. Once you selected the type of business, if you weren't signed in, you were given the option of either doing so, or selecting "I don't have a personal account."
If you chose that option, you could create a business account instead—the difference being that a business account can't interact with others or send/receive friend requests like a personal profile.
The page on the Facebook Help Center explaining the difference worked yesterday, but has been replaced by "Page cannot be found."
I'm trying to find out whether it's still possible to create a business Page without having a personal profile. If anyone has the answer, please share.