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Stock Incentive Plans - Stock Appreciation Rights (Parenthetical) (Details) - Stock Appreciation Rights (SARs) [Member]
12 Months Ended
Sep. 30, 2018
$ / shares
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Weighted-average remaining contractual life of outstanding SARs and stock options (in years) 6 years 8 months 12 days
Weighted-average remaining contractual life of outstanding, exercisable SARs and stock options (in years) 5 years 7 months 6 days
Exercise Price Range 1 [Member]  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Exercise price per share range, minimum (in usd per share) $ 5.04
Exercise price per share range, maximum (in usd per share) $ 5.70
Exercise price per share range, number of exercisable SARs and options | shares 27,000
Exercise Price Range 2 [Member]  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Exercise price per share range, minimum (in usd per share) $ 20.02
Exercise price per share range, maximum (in usd per share) $ 29.50
Exercise price per share range, number of exercisable SARs and options | shares 260,000
Exercise Price Range 3 [Member]  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Exercise price per share range, minimum (in usd per share) $ 34.47
Exercise price per share range, maximum (in usd per share) $ 47.63
Exercise price per share range, number of exercisable SARs and options | shares 419,000
Exercise Price Range 4 [Member]  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Exercise price per share range, minimum (in usd per share) $ 57.96
Exercise price per share range, maximum (in usd per share) $ 67.16
Exercise price per share range, number of exercisable SARs and options | shares 1,557,000