Income Taxes (Details) - USD ($) $ in Millions	3 Months Ended	6 Months Ended
Feb. 28, 2023	Feb. 28, 2022	Feb. 28, 2023	Feb. 28, 2022	Aug. 31, 2022
Income Tax Disclosure [Abstract]
Effective Income Tax Rate Reconciliation, Percent	6.70%	5.20%	4.90%	3.80%
Unrecognized Tax Benefits that Would Impact Effective Tax Rate	$ 115.5		$ 115.5		$ 115.1

The total amount of unrecognized tax benefits that, if recognized, would affect the effective tax rate.

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 740
-SubTopic 10
-Section 50
-Paragraph 15A
-Subparagraph (b)
-URI https://asc.fasb.org/extlink&oid=121826272&loc=SL6600010-109319

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant