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New Accounting Pronouncements - Effects of Adopting ASC 606 on Consolidated Statement of Comprehensive Income (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 12 Months Ended
Aug. 31, 2019
May 31, 2019
Feb. 28, 2019
Nov. 30, 2018
Aug. 31, 2018
May 31, 2018
Feb. 28, 2018
Nov. 30, 2017
Aug. 31, 2019
Aug. 31, 2018
Aug. 31, 2017
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                      
Net sales $ 938.1 $ 947.6 $ 854.4 $ 932.6 $ 1,061.2 $ 944.0 $ 832.1 $ 842.8 $ 3,672.7 $ 3,680.1 $ 3,505.1
Cost of products sold                 2,193.0 2,194.7 2,024.0
Selling, distribution, and administrative expenses                 1,015.0 1,019.0 942.3
Operating profit:                 462.9 460.8 527.5
Income tax expense                 94.5 76.3 170.9
Net income $ 96.1 $ 88.4 $ 66.3 $ 79.6 $ 108.2 $ 73.0 $ 96.9 $ 71.5 $ 330.4 $ 349.6 $ 321.7
Basic earnings per share (in dollars per share) $ 2.43 $ 2.23 $ 1.68 $ 1.99 $ 2.71 $ 1.81 $ 2.34 $ 1.71 $ 8.32 $ 8.54 $ 7.46
Diluted earnings per share (in dollars per share) $ 2.42 $ 2.22 $ 1.67 $ 1.98 $ 2.70 $ 1.80 $ 2.33 $ 1.70 $ 8.29 $ 8.52 $ 7.43
Without ASC 606 Adoption                      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                      
Net sales                 $ 3,681.6    
Cost of products sold                 2,197.1    
Selling, distribution, and administrative expenses                 1,014.6    
Operating profit:                 468.1    
Income tax expense                 95.7    
Net income                 $ 334.4    
Basic earnings per share (in dollars per share)                 $ 8.42    
Diluted earnings per share (in dollars per share)                 $ 8.39    
Higher (Lower)                      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                      
Net sales                 $ (8.9)    
Cost of products sold                 (4.1)    
Selling, distribution, and administrative expenses                 0.4    
Operating profit:                 (5.2)    
Income tax expense                 (1.2)    
Net income                 $ (4.0)    
Basic earnings per share (in dollars per share)                 $ (0.10)    
Diluted earnings per share (in dollars per share)                 $ (0.10)