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Notes Payable, Net - Notes Payable, Net (Detail) - USD ($) $ in Millions		Aug. 31, 2022	Aug. 31, 2021
Debt Instrument [Line Items]
Term loans		$ 867.5	$ 492.3
Other notes payable		1.2	1.7
Notes payable, gross		1,290.2	915.5
Debt discount and issuance costs	[1]	(21.1)	(89.0)
Notes payable, net		1,269.1	826.5
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
[1] As described in Note 2 – Summary of Significant Accounting Policies, effective September 1, 2021, the debt discount associated with convertible senior notes was derecognized upon adoption of ASU 2020-06 using the modified retrospective approach. Financial results for 2021 were not adjusted. See discussion below for additional information.

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