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Stock-Based Compensation (Stock-Based Compensation Expense) (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Mar. 31, 2021
Mar. 31, 2020
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes $ 2,477 $ 1,841 $ 4,222 $ 3,441
Income tax benefit (541) (381) (906) (713)
Stock-based compensation after income taxes 1,936 1,460 3,316 2,728
Cost of Sales        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes 89 78 171 142
Sales and Marketing        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes 623 629 1,148 1,060
Research and Development        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes 293 331 503 625
General and Administrative        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes $ 1,472 $ 803 $ 2,400 $ 1,614