Leases - Components of Operating Lease Costs (Detail) - USD ($) $ in Millions	3 Months Ended
	Nov. 30, 2022	Nov. 30, 2021
Leases [Abstract]
Operating lease expense	$ 3.1	$ 2.7
Short-term lease expense	1.9	1.2
Total	$ 5.0	$ 3.9