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Stock-based Compensation Assumptions Used in Black-Scholes Stock Appreciation Rights Valuation Model (Details) - $ / shares
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Employee Stock Option      
Stock Based Compensation Activity [Line Items]      
Weighted Average SAR Price, Forfeited or expired $ 37.49    
Expected life of SAR (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 SAR (years) 4 years 272 days
Employee Stock Option | Maximum      
Stock Based Compensation Activity [Line Items]      
Expected life of SAR (years) 6 years 182 days
Stock Appreciation Rights (SARs)      
Stock Based Compensation Activity [Line Items]      
Weighted Average SAR Price, Forfeited or expired $ 32.43    
Risk-free interest rate, minimum 1.55%    
Risk-free interest rate, maximum 1.85%    
Expected volatility of the Company's stock 21.80%    
Expected dividend yield on the Company's stock 3.29%    
Stock Appreciation Rights (SARs) | Minimum      
Stock Based Compensation Activity [Line Items]      
Expected life of SAR (years) 146 days    
Stock Appreciation Rights (SARs) | Maximum      
Stock Based Compensation Activity [Line Items]      
Expected life of SAR (years) 3 years 182 days