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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, 2022
Sep. 30, 2021
Sep. 30, 2020
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Number of Options, beginning balance 2,063    
Options granted, Number of options 514    
Options vested, Number of options (721)    
Options forfeited, Number of options (44)    
Number of Options, ending balance 1,812 2,063  
Weighted-Average Grant Date Fair Value Per Share, beginning balance $ 25.77    
Options granted, Weighted-Average Grant Date Fair Value Per Share 41.78 $ 28.22 $ 25.41
Options vested, Weighted-Average Grant Date Fair Value Per Share 26.25    
Options forfeited, Weighted-Average Grant Date Fair Value Per Share 29.53    
Weighted-Average Grant Date Fair Value Per Share, ending balance $ 30.03 $ 25.77