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Warranty Accruals - Warranty Accrual Activity (Detail) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 28, 2022
Feb. 28, 2021
Feb. 28, 2022
Feb. 28, 2021
Guarantees and Product Warranties [Abstract]        
Balance at beginning of period $ 27.5 $ 45.6 $ 27.9 $ 45.2
Charged to cost of revenue, net 5.5 (0.6) 6.4 1.4
Payments (2.8) (2.4) (3.8) (3.8)
Currency translation effect (0.1) 0.1 (0.4) (0.1)
Balance at end of period $ 30.1 $ 42.7 $ 30.1 $ 42.7