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Product Warranties (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 01, 2025
Feb. 24, 2024
Mar. 01, 2025
Feb. 24, 2024
Movement in Standard and Extended Product Warranty, Increase (Decrease) [Roll Forward]        
Balance at beginning of period $ 72.5 $ 91.8 $ 78.9 $ 97.8
Provision 19.8 21.5 40.3 39.9
Claims paid (25.6) (24.0) (52.5) (48.4)
Balance at end of period $ 66.7 $ 89.3 $ 66.7 $ 89.3