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Income Taxes - Schedule of Provision for Income Taxes (Details) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2025	Aug. 31, 2024	Aug. 31, 2023
Income Tax Disclosure [Abstract]
Provision for current federal taxes	$ 103.2	$ 113.6	$ 105.8
Provision for current state taxes	23.8	26.6	15.7
Provision for current foreign taxes	21.6	19.4	27.0
Benefit from deferred taxes	(45.0)	(33.6)	(47.8)
Total provision for income taxes	$ 103.6	$ 126.0	$ 100.7

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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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