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Stock-based Compensation Assumptions Used in Black-Scholes Option Valuation Model (Details)
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Stock Based Compensation Activity [Line Items]      
Risk-free interest rate 2.77% 2.28%  
Employee Stock Option      
Stock Based Compensation Activity [Line Items]      
Expected life of option (years) 6 years 4 months 24 days 6 years 6 months  
Risk-free interest rate, minimum 1.23%
Risk-free interest rate, maximum 1.93%
Expected volatility of the Company's stock 21.80% 23.70% 24.60%
Expected dividend yield on the Company's stock 3.29% 2.78% 2.21%
Employee Stock Option | Minimum      
Stock Based Compensation Activity [Line Items]      
Expected life of option (years) 4 years 272 days
Employee Stock Option | Maximum      
Stock Based Compensation Activity [Line Items]      
Expected life of option (years) 6 years 182 days