Screw agitator would free spin

Job was easy! Just remove the top cap with a screw driver. With a socket and extension, remove the bolt that holds the agitator to the transmission shaft. Pull up on the agitator and lift it off the shaft. I had to use the screw driver to pry off the center piece that held the cogs because it did not what to separate from the rest of the agitator. Removed the pieces of the old, broken cogs, cleaned up the parts and installed the new cogs with the center piece upside down. I then took some silicone lubricant and lubed the area the cogs rub on and the opening the center piece spins in on the rest of the agitator. I then removed the Thrust Spacer on the mail part of the agitator but just lifting off the old one and putting on the new one. Then, with the center piece that holds the cogs upside down I inserted it into the upper corkscrew section of the agitator so that the cogs would not fall out. While holding the two pieces together, I turned it back right-side-up and installed it back onto the other part of the agitator and then on the shaft. Re-installed the bolt and tightened with the socket. That's it! It sounds more complicated then it really was.