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Stock-based Compensation - Schedule of Compensation Cost for Share-based Payment Arrangement (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2018
Mar. 31, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Before tax stock-based compensation expense $ 2,598 $ 2,341 $ 5,208 $ 4,517
Tax benefit (659) (833) (1,321) (1,607)
After tax stock-based compensation expense 1,939 1,508 3,887 2,910
Stock Options        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Before tax stock-based compensation expense 73 55 133 162
Restricted Stock        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Before tax stock-based compensation expense $ 2,525 $ 2,286 $ 5,075 $ 4,355