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Commitments and Contingencies - Product Warranty Costs (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2025
Aug. 31, 2024
Aug. 31, 2023
Movement in Standard Product Warranty Accrual [Roll Forward]      
Beginning balance $ 37.5 $ 31.6 $ 27.3
Product warranty costs 36.5 49.4 47.0
Payments and other deductions (37.7) (43.5) (42.7)
Acquired warranty and recall liabilities 7.8 0.0 0.0
Ending balance $ 44.1 $ 37.5 $ 31.6