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Revenue Recognition - Disaggregated Revenues (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2022
Aug. 31, 2021
Aug. 31, 2020
Disaggregation of Revenue [Line Items]      
Net sales $ 4,006.1 $ 3,461.0 $ 3,326.3
Operating Segments | ABL      
Disaggregation of Revenue [Line Items]      
Net sales 3,810.1 3,287.3 3,180.9
Operating Segments | ISG      
Disaggregation of Revenue [Line Items]      
Net sales 216.1 190.0 157.0
Eliminations      
Disaggregation of Revenue [Line Items]      
Net sales (20.1) (16.3) (11.6)
Independent sales network | Operating Segments | ABL      
Disaggregation of Revenue [Line Items]      
Net sales 2,714.1 2,400.5 2,284.3
Direct sales network | Operating Segments | ABL      
Disaggregation of Revenue [Line Items]      
Net sales 384.2 358.1 329.0
Retail sales | Operating Segments | ABL      
Disaggregation of Revenue [Line Items]      
Net sales 178.3 181.5 218.3
Corporate accounts | Operating Segments | ABL      
Disaggregation of Revenue [Line Items]      
Net sales 222.7 168.7 191.8
Other | Operating Segments | ABL      
Disaggregation of Revenue [Line Items]      
Net sales $ 310.8 $ 178.5 $ 157.5