Inventories - Inventory Valuation (Detail) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2021
SEC Schedule, 12-09, Valuation and Qualifying Accounts Disclosure [Line Items]
Balance at beginning of period	$ 14.1
Balance at end of period	17.2	$ 14.1
Inventory Valuation Reserve
SEC Schedule, 12-09, Valuation and Qualifying Accounts Disclosure [Line Items]
Balance at beginning of period	14.1	19.9	$ 24.2
Charge to cost of revenue	5.4	1.5	0.8
Disposition of inventory	(2.7)	(6.9)	(5.0)
Currency translation effect	0.4	(0.4)	(0.1)
Balance at end of period	$ 17.2	$ 14.1	$ 19.9