11022102310 Kenmore Washer - Overview

First pry off the cap of the agitator. Then using a socket remove the bolt that holds the plastic cup in place. Remove this cup by prying it loose from the two tabs that hold it in place. Once this cup is removed you can get to the broken cogs.
Slip the new cogs into the underside of the cup, and slide the cup back down in the agitator housing using the slots on the side for a guide. (You may want to remove the entire agitator and assemble everything upside down, then flip it all back over to mount, so the cogs don't fall out).
Tighten the bolt, snap the cap back in place on top of the agitator and your'e done. Easy repair.

pull off softner dispenser, pop off agitator cap by inserting straight screw driver into small slot, remove bolt inside agitator with socket wrench and long extension, pull agitator straight up off shaft, place agitator on floor, with feet holding bottom half pull top half apart from bottom half by pulling straight up, note direction of old cogs remove and replace with new, reassemble

The instructions that came with the part were worthless. Essentially, unplug, put in new part, plug it back in. I spent a considerable amount of time on the internet and finally found a video showing how to open the top. Unlike other models, it is held down by clamps in the back rather than clips in the front. Once finding this information the installation was simple. Remove the clamps and the back of the console, slide the top forward and lift, remove and replace the lock and reassemble. You don't even have to remove the hoses.