Leases - Components of Operating Lease Costs (Detail) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Feb. 28, 2023	Feb. 28, 2022	Feb. 28, 2023	Feb. 28, 2022
Leases [Abstract]
Operating lease expense	$ 3.1	$ 2.5	$ 6.4	$ 5.2
Short-term lease expense	2.6	1.4	4.4	2.7
Total	$ 5.7	$ 3.9	$ 10.8	$ 7.9