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Consolidated Statements of Comprehensive Income (Unaudited) - USD ($)
shares in Millions, $ in Millions
 3 Months Ended 9 Months Ended
May 31, 2021
May 31, 2020
May 31, 2021
May 31, 2020
Income Statement [Abstract]        
Net sales $ 899.7 $ 776.2 $ 2,468.3 $ 2,435.1
Cost of products sold 513.1 448.6 1,412.6 1,407.8
Gross profit 386.6 327.6 1,055.7 1,027.3
Selling, distribution, and administrative expenses 268.0 241.3 759.4 767.5
Special charges 0.5 3.3 1.5 11.8
Operating profit 118.1 83.0 294.8 248.0
Other expense:        
Interest expense, net 6.2 5.4 17.7 19.4
Miscellaneous expense (income), net 2.7 (0.9) 6.5 1.5
Total other expense 8.9 4.5 24.2 20.9
Income before income taxes 109.2 78.5 270.6 227.1
Income tax expense 23.5 18.1 62.4 52.5
Net income $ 85.7 $ 60.4 $ 208.2 $ 174.6
Earnings per share:        
Basic earnings per share (in dollars per share) $ 2.40 $ 1.53 $ 5.70 $ 4.42
Basic weighted average number of shares outstanding (in shares) 35.7 39.5 36.5 39.5
Diluted earnings per share (in dollars per share) $ 2.37 $ 1.52 $ 5.66 $ 4.40
Diluted weighted average number of shares outstanding (in shares) 36.2 39.7 36.8 39.7
Dividends declared per share (in dollars per share) $ 0.13 $ 0.13 $ 0.39 $ 0.39
Comprehensive income:        
Net income $ 85.7 $ 60.4 $ 208.2 $ 174.6
Other comprehensive income (loss) items:        
Foreign currency translation adjustments 22.3 (13.8) 33.6 (15.6)
Defined benefit plans, net of tax (1.6) 1.8 1.7 5.4
Other comprehensive income (loss) items, net of tax 20.7 (12.0) 35.3 (10.2)
Comprehensive income $ 106.4 $ 48.4 $ 243.5 $ 164.4