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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, 2022
Sep. 30, 2021
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]    
Options outstanding, Number of options 5,339 5,339
Options vested and exercisable, Number of options 3,528  
Options vested and expected to vest, Number of options 5,290  
Options outstanding, Weighted-Average Exercise Price $ 74.40 $ 68.21
Options vested and exercisable, Weighted-Average Exercise Price Per Share 65.83  
Options vested and expected to vest, Weighted-Average Exercise Price Per Share $ 74.17  
Options outstanding, Weighted-Average Remaining Life in Years 5 years 7 months 6 days  
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 7 months 6 days  
Options outstanding, Aggregate Intrinsic Value $ 64,895  
Options vested and exercisable, Aggregate Intrinsic Value 58,726  
Options vested and expected to vest, Aggregate Intrinsic Value $ 64,786