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Share-Based Payments - Schedule of weighted average assumptions for valuation of stock options (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Sep. 30, 2016
Sep. 30, 2015
Sep. 30, 2014
Stock option disclosures      
Proceeds from exercises of stock options $ 16,220 $ 54,351 $ 26,663
Stock Option Awards      
Weighted average assumptions relating to the valuation of stock options      
Expected life (in years) 5 years 5 years 5 years
Expected volatility (as a percent) 27.20% 30.90% 47.30%
Risk-free interest rate (as a percent) 1.50% 1.60% 1.30%
Dividend yield (as a percent) 0.00% 0.00% 0.00%
Stock option disclosures      
Weighted average fair value of the stock options issued (in dollars per share) $ 6.32 $ 8.78 $ 11.08
Aggregate fair value of stock options $ 16,500 $ 10,000 $ 19,500
Aggregate intrinsic value of options exercised 11,000 86,700 50,300
Proceeds from exercises of stock options 16,200 54,400 26,700
Tax benefit realized for the tax deductions of stock option exercises 3,700 $ 31,700 $ 18,300
Total unrecognized compensation costs related to unvested stock option awards $ 8,500    
Weighted average period for recognition of unvested awards 1 year 9 months 18 days