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Common Stock (Schedule of Transactions under Stock Option Plans) (Details) - USD ($)
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Weighted Average Exercise Price      
Balance Outstanding (usd per share) $ 71.14    
Aggregate Intrinsic Value      
Share Price $ 83.51    
Share-based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount $ 2.1    
Share-based Payment Arrangement, Option [Member]      
Weighted Average Number of Shares      
Granted (in shares) 188,000    
Exercised (in shares) (144,000)    
Cancelled/Forfeited (in shares) (22,000)    
Balance Outstanding (in shares) 740,000    
Exercisable (in shares) 334,000    
Options Expected to Vest (in shares) 391,000    
Weighted Average Exercise Price      
Exercised (usd per share) $ 65.87    
Weighted Average Remaining Contractual Term      
Balance Outstanding 6 years 10 months 24 days    
Exercisable 5 years 3 months 18 days    
Options Expected to Vest 8 years 2 months 12 days    
Aggregate Intrinsic Value      
Balance Outstanding (usd per share) $ 7,900,000    
Exercisable (usd per share) 6,800,000    
Options Expected to Vest (usd per share) 1,100,000    
Total intrinsic value of options exercised $ 6,900,000 $ 17,700,000 $ 54,700,000
Share-based Payment Arrangement      
Weighted Average Number of Shares      
Balance Outstanding (in shares) 718,000    
Weighted Average Exercise Price      
Granted (usd per share) $ 103.11    
Exercised (usd per share) 60.08    
Cancelled/Forfeited (usd per share) 80.54    
Balance Outstanding (usd per share) 81.14    
Options Expected to Vest (usd per share) $ 93.56    
Aggregate Intrinsic Value      
Share-based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount $ 5,500,000