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CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME (Unaudited) - USD ($)
shares in Millions, $ in Millions
 3 Months Ended 9 Months Ended
May 31, 2022
May 31, 2021
May 31, 2022
May 31, 2021
Income Statement [Abstract]        
Net sales $ 1,060.6 $ 899.7 $ 2,895.8 $ 2,468.3
Cost of products sold 615.5 513.1 1,685.6 1,412.6
Gross profit 445.1 386.6 1,210.2 1,055.7
Selling, distribution, and administrative expenses 302.4 268.0 850.1 759.4
Special charges 0.0 0.5 0.0 1.5
Operating profit 142.7 118.1 360.1 294.8
Other expense:        
Interest expense, net 6.2 6.2 18.1 17.7
Miscellaneous (income) expense, net (1.5) 2.7 (3.1) 6.5
Total other expense 4.7 8.9 15.0 24.2
Income before income taxes 138.0 109.2 345.1 270.6
Income tax expense 32.3 23.5 76.5 62.4
Net income $ 105.7 $ 85.7 $ 268.6 $ 208.2
Earnings per share:        
Basic earnings per share (in dollars per share) $ 3.10 $ 2.40 $ 7.75 $ 5.70
Basic weighted average number of shares outstanding (in shares) 34.1 35.7 34.7 36.5
Diluted earnings per share (in dollars per share) $ 3.07 $ 2.37 $ 7.66 $ 5.66
Diluted weighted average number of shares outstanding (in shares) 34.4 36.2 35.1 36.8
Dividends declared per share (in dollars per share) $ 0.13 $ 0.13 $ 0.39 $ 0.39
Comprehensive income:        
Net income $ 105.7 $ 85.7 $ 268.6 $ 208.2
Other comprehensive income (loss) items:        
Foreign currency translation adjustments (1.8) 22.3 (8.9) 33.6
Defined benefit plans, net of tax 1.2 (1.6) 3.6 1.7
Other comprehensive (loss) income items, net of tax (0.6) 20.7 (5.3) 35.3
Comprehensive income $ 105.1 $ 106.4 $ 263.3 $ 243.5