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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, 2025
Sep. 30, 2024
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]    
Options outstanding, Number of options 2,249 3,578
Options vested and exercisable, Number of options 1,776  
Options vested and expected to vest, Number of options 2,238  
Options outstanding, Weighted-Average Exercise Price $ 91.25 $ 86.03
Options vested and exercisable, Weighted-Average Exercise Price Per Share 86.74  
Options vested and expected to vest, Weighted-Average Exercise Price Per Share $ 91.03  
Options outstanding, Weighted-Average Remaining Life in Years 5 years  
Options vested and exercisable, Weighted-Average Remaining Life in Years 4 years 4 months 24 days  
Options vested and expected to vest, Weighted-Average Remaining Life in Years 5 years  
Options outstanding, Aggregate Intrinsic Value $ 363,126  
Options vested and exercisable, Aggregate Intrinsic Value 294,766  
Options vested and expected to vest, Aggregate Intrinsic Value $ 361,894