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Stock-Based Compensation (Stock-Based Compensation Expense) (Details) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 30, 2020 | Sep. 30, 2019 | Sep. 30, 2018
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Stock-based compensation before income taxes | $ 7,237 | $ 5,655 | $ 4,854
Income tax benefit | (1,523) | (1,174) | (1,017)
Stock-based compensation after income taxes | 5,714 | 4,481 | 3,837
Cost of Sales |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Stock-based compensation before income taxes | 291 | 174 | 195
Sales and Marketing |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Stock-based compensation before income taxes | 2,318 | 1,708 | 1,492
Research and Development |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Stock-based compensation before income taxes | 1,197 | 996 | 516
General and Administrative |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Stock-based compensation before income taxes | $ 3,431 | $ 2,777 | $ 2,651

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