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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