Product review (5 stars): EXCELLENT! Buy This Kit!
This is an excellent repair product for the Kenmore Elite 665.12773K310 (Stock No. 12773K) dishwasher. It took me about fifteen minutes to complete the repair. The included instructions are a bit unclear, however a video can be found on YouTube by searching Whirlpool W10712394. Be aware that the video shows the Positioner Clips installed INCORRECTLY. The "smooth" side should be toward the inside of the upper rack. You will note some misalignment if they are positioned as per the video. The paper instructions show them installed correctly.

Note that I bought this kit from another seller before finding this listing via Google.  This listing does not appear when searching for W10712394 from the main Amazon page, but the price is better and it is currently available with Prime shipping.  If anyone knows how to flag it to be moved to the Appliances category from Industrial & Scientific, please comment.