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Commitments and Contingencies - Product Warranty and Recall Costs (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2021
Aug. 31, 2020
Aug. 31, 2019
Movement in Standard and Extended Product Warranty Accrual, Increase (Decrease) [Roll Forward]      
Beginning balance $ 16.1 $ 11.5 $ 27.3
Warranty and recall costs 32.3 32.0 18.7
Payments and other deductions (28.4) (27.5) (19.7)
Acquired warranty and recall liabilities 0.3 0.1 0.0
ASC 606 adjustments 0.0 0.0 (14.8)
Ending balance $ 20.3 $ 16.1 $ 11.5