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Consolidated Statements of Comprehensive Income (Unaudited) - USD ($)
shares in Millions, $ in Millions
 3 Months Ended
Nov. 30, 2018
Nov. 30, 2017
Income Statement [Abstract]    
Net sales $ 932.6 $ 842.8
Cost of products sold 565.1 492.9
Gross profit 367.5 349.9
Selling, distribution, and administrative expenses 250.1 229.5
Special charge 1.0 0.2
Operating profit 116.4 120.2
Other expense (income):    
Interest expense, net 8.7 8.1
Miscellaneous expense, net 1.3 1.2
Total other expense 10.0 9.3
Income before income taxes 106.4 110.9
Income tax expense 26.8 39.4
Net income $ 79.6 $ 71.5
Earnings per share:    
Basic earnings per share (in dollars per share) $ 1.99 $ 1.71
Basic weighted average number of shares outstanding (in shares) 40.0 41.9
Diluted earnings per share (in dollars per share) $ 1.98 $ 1.70
Diluted weighted average number of shares outstanding (in shares) 40.1 42.1
Dividends declared per share (in dollars per share) $ 0.13 $ 0.13
Comprehensive income:    
Net income $ 79.6 $ 71.5
Other comprehensive income (loss) items:    
Foreign currency translation adjustments (8.8) (10.5)
Defined benefit plans, net 2.6 1.6
Other comprehensive loss, net of tax (6.2) (8.9)
Comprehensive income $ 73.4 $ 62.6