Notes Payable, Net - Notes Payable, Net (Detail) - USD ($) $ in Millions	Aug. 31, 2023	Aug. 31, 2022
Debt Instrument [Line Items]
Term loans	$ 906.6	$ 867.5
Other notes payable	1.8	1.2
Notes payable, gross	1,329.9	1,290.2
Debt discount and issuance costs	(18.2)	(21.1)
Notes payable, net	1,311.7	1,269.1
2.875% Convertible senior notes, due 2028
Debt Instrument [Line Items]
Convertible senior notes	373.8	373.8
2.875% Convertible senior notes, due 2024
Debt Instrument [Line Items]
Convertible senior notes	$ 47.7	$ 47.7