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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

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