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Revenue Recognition - Disaggregated Revenues (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
May 31, 2022
May 31, 2021
May 31, 2022
May 31, 2021
Disaggregation of Revenue [Line Items]        
Total sales $ 1,060.6 $ 899.7 $ 2,895.8 $ 2,468.3
Operating segments | ABL        
Disaggregation of Revenue [Line Items]        
Total sales 1,008.4 850.0 2,755.1 2,340.4
Operating segments | ISG        
Disaggregation of Revenue [Line Items]        
Total sales 58.3 55.4 154.7 139.5
Eliminations        
Disaggregation of Revenue [Line Items]        
Total sales (6.1) (5.7) (14.0) (11.6)
Independent sales network | Operating segments | ABL        
Disaggregation of Revenue [Line Items]        
Total sales 725.9 628.0 1,977.0 1,737.4
Direct sales network | Operating segments | ABL        
Disaggregation of Revenue [Line Items]        
Total sales 96.1 96.7 269.3 256.0
Retail sales | Operating segments | ABL        
Disaggregation of Revenue [Line Items]        
Total sales 44.7 36.1 134.3 135.8
Corporate accounts | Operating segments | ABL        
Disaggregation of Revenue [Line Items]        
Total sales 59.1 44.0 149.7 93.1
Other | Operating segments | ABL        
Disaggregation of Revenue [Line Items]        
Total sales $ 82.6 $ 45.2 $ 224.8 $ 118.1