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Income Taxes - Schedule of Provision for Income Taxes (Details) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022
Income Tax Disclosure [Abstract]
Provision for current federal taxes	$ 113.6	$ 105.8	$ 67.6
Provision for current state taxes	26.6	15.7	16.3
Provision for current foreign taxes	19.4	27.0	25.4
(Benefit from) provision for deferred taxes	(33.6)	(47.8)	0.6
Total provision for income taxes	$ 126.0	$ 100.7	$ 109.9

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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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Amount of current state and local tax expense (benefit) attributable to income (loss) from continuing operations. Includes, but is not limited to, current regional, territorial, and provincial tax expense (benefit) for non-US (United States of America) jurisdiction.

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