Segment Reporting - Income Before Income Taxes (Details) - USD ($) $ in Millions	12 Months Ended
Aug. 31, 2021	Aug. 31, 2020	Aug. 31, 2019
Geographic Distribution
Operating profit (loss)	$ 427.6	$ 353.9	$ 462.9
Interest expense, net	23.2	23.3	33.3
Miscellaneous expense, net	8.2	5.9	4.7
Income before income taxes	396.2	324.7	424.9
Operating Segments \| ABL
Geographic Distribution
Operating profit (loss)	476.2	425.8	510.2
Operating Segments \| ISG
Geographic Distribution
Operating profit (loss)	9.9	(3.9)	(18.1)
Corporate
Geographic Distribution
Operating profit (loss)	$ (58.5)	$ (68.0)	$ (29.2)

Amount of income (loss) from continuing operations, including income (loss) from equity method investments, before deduction of income tax expense (benefit), and income (loss) attributable to noncontrolling interest.

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+ Details