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Segment Reporting - Income Before Income Taxes (Details) - USD ($) $ in Millions	3 Months Ended	12 Months Ended
	Aug. 31, 2023	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022
Geographic Distribution
Operating profit:		$ 553.3	$ 473.4	$ 509.7
Interest (income) expense, net		(4.5)	18.9	24.9
Miscellaneous expense (income), net		9.2	7.8	(9.1)
Income before income taxes		548.6	446.7	493.9
Trade name impairment charges			14.0
Employee severance costs			7.7
ABL
Geographic Distribution
Charge for collectability of a supplier warranty obligation	$ 13.0
Employee severance costs	4.1
ABL | Trade Names
Geographic Distribution
Trade name impairment charges	$ 14.0
Operating Segments | ABL
Geographic Distribution
Operating profit:		582.8	509.5	545.6
Operating Segments | ISG
Geographic Distribution
Operating profit:		43.6	32.1	22.7
Unallocated corporate amounts
Geographic Distribution
Operating profit:		$ (73.1)	$ (68.2)	$ (58.6)

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