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Stock-Based Compensation (Stock-Based Compensation Expense) (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2022
Mar. 31, 2021
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes $ 2,242 $ 2,477 $ 4,259 $ 4,222
Income tax benefit (470) (541) (900) (906)
Stock-based compensation after income taxes 1,772 1,936 3,359 3,316
Cost of Sales        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes 131 89 217 171
Sales and Marketing        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes 678 623 1,168 1,148
Research and Development        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes 317 293 639 503
General and Administrative        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes $ 1,116 $ 1,472 $ 2,235 $ 2,400