Income Taxes (Details) - USD ($) $ in Millions	3 Months Ended
	Nov. 30, 2021	Nov. 30, 2020	Aug. 31, 2021
Income Tax Disclosure [Abstract]
Effective Income Tax Rate Reconciliation, Percent	3.20%	(54.00%)
Unrecognized Tax Benefits that Would Impact Effective Tax Rate	$ 114.5		$ 114.3