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Stockholders' Equity (Changes in Non-vested Stock Options) (Details) - Stock Options [Member] - $ / shares
shares in Thousands
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Number of Options, beginning balance 1,812    
Options granted, Number of options 537    
Options vested, Number of options (930)    
Options forfeited, Number of options (26)    
Number of Options, ending balance 1,393 1,812  
Weighted-Average Grant Date Fair Value Per Share, beginning balance $ 30.03    
Options granted, Weighted-Average Grant Date Fair Value Per Share 34.19 $ 41.78 $ 28.22
Options vested, Weighted-Average Grant Date Fair Value Per Share 26.24    
Options forfeited, Weighted-Average Grant Date Fair Value Per Share 33.66    
Weighted-Average Grant Date Fair Value Per Share, ending balance $ 33.96 $ 30.03