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Share Based Compensation Assumptions used in Calculation of Fair Value of Market-based Restricted Stock Units (Details) - Market-based restricted stock units
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Expected volatility 28.00% 28.70%
Risk-free interest rate 1.90% 1.40%
Expected dividend yield 0.50% 0.00%