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CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME (Unaudited) - USD ($)
shares in Millions, $ in Millions
 3 Months Ended 6 Months Ended
Feb. 28, 2022
Feb. 28, 2021
Feb. 28, 2022
Feb. 28, 2021
Income Statement [Abstract]        
Net sales $ 909.1 $ 776.6 $ 1,835.2 $ 1,568.6
Cost of products sold 529.8 439.9 1,070.1 899.5
Gross profit 379.3 336.7 765.1 669.1
Selling, distribution, and administrative expenses 277.0 245.4 547.7 491.4
Special charges 0.0 0.3 0.0 1.0
Operating profit 102.3 91.0 217.4 176.7
Other expense:        
Interest expense, net 6.0 6.6 11.9 11.5
Miscellaneous (income) expense, net (1.9) 2.2 (1.6) 3.8
Total other expense 4.1 8.8 10.3 15.3
Income before income taxes 98.2 82.2 207.1 161.4
Income tax expense 22.9 19.3 44.2 38.9
Net income $ 75.3 $ 62.9 $ 162.9 $ 122.5
Earnings per share:        
Basic earnings per share (in dollars per share) $ 2.16 $ 1.75 $ 4.65 $ 3.32
Basic weighted average number of shares outstanding (in shares) 35.0 36.0 35.0 36.9
Diluted earnings per share (in dollars per share) $ 2.13 $ 1.74 $ 4.60 $ 3.30
Diluted weighted average number of shares outstanding (in shares) 35.4 36.2 35.4 37.1
Dividends declared per share (in dollars per share) $ 0.13 $ 0.13 $ 0.26 $ 0.26
Comprehensive income:        
Net income $ 75.3 $ 62.9 $ 162.9 $ 122.5
Other comprehensive income (loss) items:        
Foreign currency translation adjustments 4.8 6.7 (7.1) 11.3
Defined benefit plans, net of tax 1.2 1.7 2.4 3.3
Other comprehensive income (loss) items, net of tax 6.0 8.4 (4.7) 14.6
Comprehensive income $ 81.3 $ 71.3 $ 158.2 $ 137.1