Income Taxes (Details) - USD ($) $ in Millions	3 Months Ended
	Nov. 30, 2023	Nov. 30, 2022	Aug. 31, 2023
Income Tax Disclosure [Abstract]
Effective Income Tax Rate Reconciliation, Percent	(1.30%)	4.20%
Unrecognized Tax Benefits that Would Impact Effective Tax Rate	$ 130.4		$ 116.0