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Segment Information - Operating Segment (Details) $ in Millions	3 Months Ended
	Nov. 30, 2023 USD ($) segment	Nov. 30, 2022 USD ($)
Segment Reporting Information [Line Items]
Number of reportable segments | segment	2
Special charges	$ 0.0	$ 6.9
Net sales	934.7	997.9
Operating profit:	132.9	108.9
Operating Segments | ABL
Segment Reporting Information [Line Items]
Special charges		6.9
Net sales	876.4	947.1
Operating profit:	143.8	118.1
Operating Segments | ISG
Segment Reporting Information [Line Items]
Net sales	64.2	56.8
Operating profit:	5.3	7.7
Eliminations
Segment Reporting Information [Line Items]
Net sales	(5.9)	(6.0)
Unallocated corporate amounts
Segment Reporting Information [Line Items]
Operating profit:	$ (16.2)	$ (16.9)

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