Leases - Components of Operating Lease Costs (Detail) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Feb. 29, 2024	Feb. 28, 2023	Feb. 29, 2024	Feb. 28, 2023
Leases [Abstract]
Operating lease expense	$ 4.2	$ 3.1	$ 8.4	$ 6.4
Short-term lease expense	1.7	2.6	3.8	4.4
Total	$ 5.9	$ 5.7	$ 12.2	$ 10.8