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Income Taxes - Schedule of Provision for Income Taxes (Details) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2021
Income Tax Disclosure [Abstract]
Provision for current federal taxes	$ 105.8	$ 67.6	$ 65.4
Provision for current state taxes	15.7	16.3	12.8
Provision for current foreign taxes	27.0	25.4	14.4
(Benefit from) provision for deferred taxes	(47.8)	0.6	(2.7)
Total provision for income taxes	$ 100.7	$ 109.9	$ 89.9

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Amount of current federal tax expense (benefit) attributable to income (loss) from continuing operations. Includes, but is not limited to, current national tax expense (benefit) for non-US (United States of America) jurisdiction.

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