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Product Warranties (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 28, 2026
Mar. 01, 2025
Feb. 28, 2026
Mar. 01, 2025
Movement in Standard and Extended Product Warranty, Increase (Decrease) [Roll Forward]        
Balance at beginning of period $ 73.8 $ 72.5 $ 72.9 $ 78.9
Provision 22.9 19.8 48.4 40.3
Claims paid (24.0) (25.6) (48.6) (52.5)
Balance at end of period $ 72.7 $ 66.7 $ 72.7 $ 66.7