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Stockholders' Equity (Other Stock Option Information) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2017
Sep. 30, 2016
Sep. 30, 2015
Stock-Based Compensation      
Total fair value of stock options vested $ 11,639 $ 10,374 $ 9,656
Total intrinsic value of options exercised 16,416 23,178 18,876
Cash received from exercises of stock options 14,196 15,892 8,400
Excess tax benefit realized from exercise of stock options $ 4,383 $ 6,472 $ 6,959