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Stockholders' Equity (Other Stock Option Information) (Details) - Stock Options [Member] - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Total fair value of stock options vested $ 18,945 $ 19,324 $ 17,423
Total intrinsic value of options exercised 32,709 63,667 50,059
Cash received from exercises of stock options 21,897 34,748 24,969
Excess tax benefit realized from exercise of stock options $ 6,472 $ 12,364 $ 9,399