I have edited 82 post till now.As per the Badges list description, if you edited 80 post then you should be awarded with a badge
Strunk & White. But I haven't received it yet.
You need to have edited 80 unique posts that have not since been deleted, none of which can be your own.
Also, the badge is not handed out the moment your 80th edit has been accepted, badges are handed out with a batch process. It can take a few hours before you are awarded the badge.