Lease Commitments - Components of Operating Lease Costs (Detail) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2021
Leases [Abstract]
Operating lease expense	$ 13.6	$ 10.7	$ 13.2
Short-term lease expense	9.3	6.0	5.3
Total	$ 22.9	$ 16.7	$ 18.5