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Product Warranties (Details) - USD ($)
$ in Millions
3 Months Ended
Nov. 25, 2023
Nov. 26, 2022
Movement in Standard and Extended Product Warranty, Increase (Decrease) [Roll Forward]    
Balance at beginning of period $ 97.8 $ 127.9
Provision 18.4 18.1
Claims paid (24.4) (23.8)
Balance at end of period $ 91.8 $ 122.2