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Revenue Recognition - Schedule of Disaggregated Revenues (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	May 31, 2024	May 31, 2023	May 31, 2024	May 31, 2023
Disaggregation of Revenue [Line Items]
Total sales	$ 968.1	$ 1,000.3	$ 2,808.7	$ 2,941.8
Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	898.5	940.7	2,618.4	2,778.6
Operating Segments | ISG
Disaggregation of Revenue [Line Items]
Total sales	75.7	65.8	208.0	180.8
Operating Segments | Independent sales network | ABL
Disaggregation of Revenue [Line Items]
Total sales	637.1	686.0	1,874.6	1,995.0
Operating Segments | Direct sales network | ABL
Disaggregation of Revenue [Line Items]
Total sales	97.0	103.9	287.4	305.0
Operating Segments | Retail sales | ABL
Disaggregation of Revenue [Line Items]
Total sales	45.7	48.0	147.7	148.3
Operating Segments | Corporate accounts | ABL
Disaggregation of Revenue [Line Items]
Total sales	60.5	44.4	140.1	147.5
Operating Segments | OEM and other | ABL
Disaggregation of Revenue [Line Items]
Total sales	58.2	58.4	168.6	182.8
Eliminations
Disaggregation of Revenue [Line Items]
Total sales	$ (6.1)	$ (6.2)	$ (17.7)	$ (17.6)

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