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Product Warranties - Schedule of Product Warranty Liability (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2024
Aug. 26, 2023
Aug. 27, 2022
Movement in Standard and Extended Product Warranty, Increase (Decrease) [Roll Forward]      
Balance at beginning of year $ 97.8 $ 127.9 $ 91.2
Business acquisitions 0.0 1.4 4.7
Provision 83.0 67.1 119.2
Claims paid (101.9) (98.6) (87.2)
Balance at end of year $ 78.9 $ 97.8 $ 127.9