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Stock-based Compensation - Schedule of Compensation Cost for Share-based Payment (Details) - USD ($)
12 Months Ended 24 Months Ended
Sep. 30, 2017
Sep. 30, 2016
Sep. 30, 2015
Sep. 30, 2015
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Before tax stock-based compensation expense $ 8,159,000 $ 7,959,000 $ 6,105,000  
Tax benefit (2,917,000) (2,832,000) 0 $ 0
After tax stock-based compensation expense 5,242,000 5,127,000 6,105,000  
Stock Options        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Before tax stock-based compensation expense 274,000 534,000 697,000  
Restricted Stock        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Before tax stock-based compensation expense $ 7,885,000 $ 7,425,000 $ 5,408,000