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Stockholders' Equity (Stock Options Vested, or Expected to Vest and Exercisable) (Details) - Stock Options [Member] - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands | 12 Months Ended |
--- | --- | ---
Sep. 30, 2024 | Sep. 30, 2023
Share Based Compensation Arrangement By Share Based Payment Award [Line Items] |  |
Options outstanding, Number of options | 3,578 | 4,842
Options vested and exercisable, Number of options | 2,680 |
Options vested and expected to vest, Number of options | 3,557 |
Options outstanding, Weighted-Average Exercise Price | $ 86.03 | $ 80.48
Options vested and exercisable, Weighted-Average Exercise Price Per Share | 82.14 |
Options vested and expected to vest, Weighted-Average Exercise Price Per Share | $ 85.91 |
Options outstanding, Weighted-Average Remaining Life in Years | 5 years 3 months 18 days |
Options vested and exercisable, Weighted-Average Remaining Life in Years | 4 years 6 months |
Options vested and expected to vest, Weighted-Average Remaining Life in Years | 5 years 2 months 12 days |
Options outstanding, Aggregate Intrinsic Value | $ 305,872 |
Options vested and exercisable, Aggregate Intrinsic Value | 239,541 |
Options vested and expected to vest, Aggregate Intrinsic Value | $ 304,515 |

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