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Stock-Based Compensation - 2004 Stock Option and Incentive Plan and 2008 Equity Incentive Plan, Assumptions (Details)
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]    
Dividend yield 1.18% 1.16%
Risk-free interest rate 2.40% 2.20%
Weighted average expected life (years) 10 years 10 years
Expected volatility 2.30% 2.40%