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Stock-Based Compensation (Stock-Based Compensation Expense) (Details) - USD ($)
$ in Thousands
3 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Stock-based compensation before income taxes $ 2,868 $ 2,017
Income tax benefit (599) (430)
Stock-based compensation after income taxes 2,269 1,587
Cost of Sales    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Stock-based compensation before income taxes 142 86
Sales and Marketing    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Stock-based compensation before income taxes 851 490
Research and Development    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Stock-based compensation before income taxes 448 322
General and Administrative    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Stock-based compensation before income taxes $ 1,427 $ 1,119