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Revenue Recognition - Disaggregated Revenues (Details) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2021
Disaggregation of Revenue [Line Items]
Net sales	$ 3,952.2	$ 4,006.1	$ 3,461.0
Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Net sales	3,722.8	3,810.1	3,287.3
Operating Segments | ISG
Disaggregation of Revenue [Line Items]
Net sales	252.7	216.1	190.0
Eliminations
Disaggregation of Revenue [Line Items]
Net sales	(23.3)	(20.1)	(16.3)
Independent sales network | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Net sales	2,671.0	2,714.1	2,400.5
Direct sales network | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Net sales	414.4	384.2	358.1
Retail sales | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Net sales	194.9	178.3	181.5
Corporate accounts | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Net sales	200.3	222.7	168.7
OEM and other | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Net sales	$ 242.2	$ 310.8	$ 178.5

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