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Stock-Based Compensation (Stock-Based Compensation Expense) (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Jun. 30, 2024
Jun. 30, 2023
Jun. 30, 2024
Jun. 30, 2023
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes $ 3,514 $ 3,519 $ 10,093 $ 9,852
Income tax benefit (724) (760) (2,138) (2,096)
Stock-based compensation after income taxes 2,790 2,759 7,955 7,756
Cost of Sales        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes 173 160 529 463
Sales and Marketing        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes 1,218 1,089 3,594 3,012
Research and Development        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes 517 469 1,448 1,386
General and Administrative        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes $ 1,606 $ 1,801 $ 4,522 $ 4,991