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Revenue Recognition - Disaggregated Revenues (Details) - USD ($) $ in Millions	3 Months Ended
	Nov. 30, 2022	Nov. 30, 2021
Disaggregation of Revenue [Line Items]
Total sales	$ 997.9	$ 926.1
Operating segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	947.1	883.6
Operating segments | ISG
Disaggregation of Revenue [Line Items]
Total sales	56.8	46.4
Eliminations
Disaggregation of Revenue [Line Items]
Total sales	(6.0)	(3.9)
Independent sales network | Operating segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	673.7	636.8
Direct sales network | Operating segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	106.4	90.0
Retail sales | Operating segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	49.9	46.9
Corporate accounts | Operating segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	49.1	37.0
OEM and other | Operating segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	$ 68.0	$ 72.9

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