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Stockholders' Equity (Weighted Average Grant Date Fair Value of Options Granted) (Details) - $ / shares
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Stock-Based Compensation      
Options granted, Weighted-Average Grant Date Fair Value Per Share $ 25.66 $ 24.98 $ 13.39