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Common Stock (Narrative) (Details) - USD ($)
12 Months Ended 49 Months Ended
Nov. 06, 2017
Sep. 30, 2017
Sep. 30, 2016
Sep. 30, 2015
Sep. 30, 2017
Sep. 30, 2013
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share repurchase authorization           $ 190,000,000
Number of shares authorized (in shares)   15,300,000     15,300,000  
Shares available for future grants (in shares)   3,000,000     3,000,000  
Treasury stock (in shares)   22,600,000 22,643,840 22,752,381 22,600,000  
Recognition of excess tax benefits against income tax expense   $ 8,900,000        
Employee Stock Option [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Maximum contractual term   10 years        
Total intrinsic value of options exercised   $ 19,400,000 $ 4,000,000 $ 6,300,000    
Unrecognized compensation expense   $ 5,200,000     $ 5,200,000  
Unrecognized compensation expense, weighted-average recognition period   2 years 1 month 6 days        
Employee Stock Option [Member] | Minimum [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Vesting period   3 years        
Employee Stock Option [Member] | Maximum [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Vesting period   4 years        
Restricted Stock Units (RSUs) [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Unrecognized compensation expense   $ 12,300,000     12,300,000  
Unrecognized compensation expense, weighted-average recognition period   2 years        
Total vest date fair value of shares that vested   $ 14,500,000 14,400,000 4,300,000    
Restricted Stock Units (RSUs) [Member] | Minimum [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Vesting period   1 year        
Restricted Stock Units (RSUs) [Member] | Maximum [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Vesting period   4 years        
Performance Shares [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Unrecognized compensation expense   $ 14,000,000     14,000,000  
Total vest date fair value of shares that vested   $ 14,200,000 $ 10,200,000 $ 20,500,000    
Subsequent Event [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Increase in share repurchase authorization $ 150,000,000          
Remaining availability $ 165,000,000          
Common Stock [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Shares repurchased (in shares)   800,000 0 1,200,000    
Value of shares repurchased   $ 50,000,000   $ 54,800,000 $ 175,300,000