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Revenue Recognition - Disaggregated Revenues (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 28, 2022
Feb. 28, 2021
Feb. 28, 2022
Feb. 28, 2021
Disaggregation of Revenue [Line Items]        
Total sales $ 909.1 $ 776.6 $ 1,835.2 $ 1,568.6
Operating segments | ABL        
Disaggregation of Revenue [Line Items]        
Total sales 863.1 736.8 1,746.7 1,490.4
Operating segments | ISG        
Disaggregation of Revenue [Line Items]        
Total sales 50.0 43.3 96.4 84.1
Eliminations        
Disaggregation of Revenue [Line Items]        
Total sales (4.0) (3.5) (7.9) (5.9)
Independent sales network | Operating segments | ABL        
Disaggregation of Revenue [Line Items]        
Total sales 614.3 549.9 1,251.1 1,109.4
Direct sales network | Operating segments | ABL        
Disaggregation of Revenue [Line Items]        
Total sales 83.2 79.2 173.2 159.3
Retail sales | Operating segments | ABL        
Disaggregation of Revenue [Line Items]        
Total sales 42.7 43.7 89.6 99.7
Corporate accounts | Operating segments | ABL        
Disaggregation of Revenue [Line Items]        
Total sales 53.6 26.2 90.6 49.1
Other | Operating segments | ABL        
Disaggregation of Revenue [Line Items]        
Total sales $ 69.3 $ 37.8 $ 142.2 $ 72.9