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Consolidated Statements of Comprehensive Income (Unaudited) - USD ($)
shares in Millions, $ in Millions
 3 Months Ended 9 Months Ended
May 31, 2019
May 31, 2018
May 31, 2019
May 31, 2018
Income Statement [Abstract]        
Net sales $ 947.6 $ 944.0 $ 2,734.6 $ 2,618.9
Cost of products sold 564.0 554.9 1,649.6 1,545.4
Gross profit 383.6 389.1 1,085.0 1,073.5
Selling, distribution, and administrative expenses 263.4 271.8 751.1 745.7
Special charge (0.1) 9.9 1.3 10.7
Operating profit 120.3 107.4 332.6 317.1
Other expense (income):        
Interest expense, net 8.3 8.4 25.6 24.5
Miscellaneous expense (income), net 0.2 (0.2) 2.6 3.8
Total other expense 8.5 8.2 28.2 28.3
Income before income taxes 111.8 99.2 304.4 288.8
Income tax expense 23.4 26.2 70.1 47.4
Net income $ 88.4 $ 73.0 $ 234.3 $ 241.4
Earnings per share:        
Basic earnings per share (in dollars per share) $ 2.23 $ 1.81 $ 5.89 $ 5.86
Basic weighted average number of shares outstanding (in shares) 39.7 40.4 39.8 41.2
Diluted earnings per share (in dollars per share) $ 2.22 $ 1.80 $ 5.87 $ 5.85
Diluted weighted average number of shares outstanding (in shares) 39.8 40.5 39.9 41.3
Dividends declared per share (in dollars per share) $ 0.13 $ 0.13 $ 0.39 $ 0.39
Comprehensive income:        
Net income $ 88.4 $ 73.0 $ 234.3 $ 241.4
Other comprehensive income (loss) items:        
Foreign currency translation adjustments (8.7) (7.6) (12.6) (15.6)
Defined benefit plans, net of tax 1.3 1.9 5.3 5.3
Other comprehensive loss, net of tax (7.4) (5.7) (7.3) (10.3)
Comprehensive income $ 81.0 $ 67.3 $ 227.0 $ 231.1