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Revenue Recognition - Disaggregated Revenues (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	May 31, 2023	May 31, 2022	May 31, 2023	May 31, 2022
Disaggregation of Revenue [Line Items]
Total sales	$ 1,000.3	$ 1,060.6	$ 2,941.8	$ 2,895.8
Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	940.7	1,008.4	2,778.6	2,755.1
Operating Segments | ISG
Disaggregation of Revenue [Line Items]
Total sales	65.8	58.3	180.8	154.7
Eliminations
Disaggregation of Revenue [Line Items]
Total sales	(6.2)	(6.1)	(17.6)	(14.0)
Independent sales network | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	686.0	725.9	1,995.0	1,977.0
Direct sales network | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	103.9	96.1	305.0	269.3
Retail sales | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	48.0	44.7	148.3	134.3
Corporate accounts | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	44.4	59.1	147.5	149.7
OEM and other | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	$ 58.4	$ 82.6	$ 182.8	$ 224.8

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