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Stock-Based Compensation (Stock-Based Compensation Expense) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Stock-based compensation before income taxes $ 7,237 $ 5,655 $ 4,854
Income tax benefit (1,523) (1,174) (1,017)
Stock-based compensation after income taxes 5,714 4,481 3,837
Cost of Sales      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Stock-based compensation before income taxes 291 174 195
Sales and Marketing      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Stock-based compensation before income taxes 2,318 1,708 1,492
Research and Development      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Stock-based compensation before income taxes 1,197 996 516
General and Administrative      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Stock-based compensation before income taxes $ 3,431 $ 2,777 $ 2,651