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Stock-Based Compensation (Stock-Based Compensation Expense) (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Mar. 31, 2025
Mar. 31, 2024
Mar. 31, 2025
Mar. 31, 2024
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes $ 3,944 $ 3,473 $ 7,504 $ 6,579
Income tax benefit (840) (751) (1,601) (1,414)
Stock-based compensation after income taxes 3,104 2,722 5,903 5,165
Cost of Sales        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes 202 175 389 356
Sales and Marketing        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes 1,358 1,208 2,619 2,376
Research and Development        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes 611 501 1,157 931
General and Administrative        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation before income taxes $ 1,773 $ 1,589 $ 3,339 $ 2,916