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Product Warranties (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 24, 2024
Feb. 25, 2023
Feb. 24, 2024
Feb. 25, 2023
Movement in Standard and Extended Product Warranty, Increase (Decrease) [Roll Forward]        
Balance at beginning of period $ 91.8 $ 122.2 $ 97.8 $ 127.9
Provision 21.5 16.0 39.9 34.1
Claims paid (24.0) (24.5) (48.4) (48.3)
Balance at end of period $ 89.3 $ 113.7 $ 89.3 $ 113.7