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Revenue Recognition - Disaggregated Revenues (Details) - USD ($) $ in Millions	3 Months Ended
	Nov. 30, 2023	Nov. 30, 2022
Disaggregation of Revenue [Line Items]
Total sales	$ 934.7	$ 997.9
Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	876.4	947.1
Operating Segments | ISG
Disaggregation of Revenue [Line Items]
Total sales	64.2	56.8
Eliminations
Disaggregation of Revenue [Line Items]
Total sales	(5.9)	(6.0)
Independent sales network | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	625.2	673.7
Direct sales network | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	97.4	106.4
Retail sales | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	55.6	49.9
Corporate accounts | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	41.5	49.1
OEM and other | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	$ 56.7	$ 68.0

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