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Commitments and Contingencies - Product Warranty Costs (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Movement in warranty accruals      
Beginning balance $ 31.6 $ 27.3 $ 20.3
Product warranty costs 49.4 47.0 52.4
Payments and other deductions (43.5) (42.7) (45.4)
Ending balance $ 37.5 $ 31.6 $ 27.3