Fair Value of Financial Instruments - Fair Value of Financial Instruments (Detail) - USD ($) $ in Millions		Aug. 31, 2023	Aug. 31, 2022
Carrying (Reported) Amount, Fair Value Disclosure
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Notes payable	[1]	$ 1,328.1	$ 1,289.0
Estimate of Fair Value, Fair Value Disclosure
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Notes payable		$ 1,314.3	$ 1,231.2

[1] Carrying amount disclosed in this table excludes other notes payable and debt discount and issuance costs.