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Product Warranties - Schedule of Product Warranty Liability (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 26, 2023
Aug. 27, 2022
Aug. 28, 2021
Movement in Standard and Extended Product Warranty, Increase (Decrease) [Roll Forward]      
Balance at beginning of year $ 127.9 $ 91.2 $ 64.0
Business acquisitions 1.4 4.7 0.0
Provision 67.1 119.2 90.0
Claims paid (98.6) (87.2) (62.8)
Balance at end of year $ 97.8 $ 127.9 $ 91.2