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Stock-based Compensation Assumptions Used in Black-Scholes Stock Appreciation Rights Valuation Model (Details) - $ / shares
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Employee Stock Option      
Stock Based Compensation Activity [Line Items]      
Weighted Average SAR Price, Forfeited or expired $ 37.16    
Expected life of SAR (years) 6 years 6 months 6 years 6 months 6 years 4 months 24 days
Expected volatility of the Company's stock 27.60% 22.40% 21.80%
Expected dividend yield on the Company's stock 2.28% 2.49% 3.29%
Weighted Average Option Price, Granted $ 45.69    
Shares Subject to Option, Granted 932,678    
Stock Appreciation Rights (SARs)      
Stock Based Compensation Activity [Line Items]      
Weighted Average SAR Price, Forfeited or expired $ 32.45    
Risk-free interest rate, minimum 0.07%    
Risk-free interest rate, maximum 0.88%    
Expected volatility of the Company's stock 27.60%    
Expected dividend yield on the Company's stock 2.28%    
Weighted Average Option Price, Granted $ 45.69    
Shares Subject to Option, Granted 35,254    
Stock Appreciation Rights (SARs) | Minimum      
Stock Based Compensation Activity [Line Items]      
Expected life of SAR (years) 3 days    
Stock Appreciation Rights (SARs) | Maximum      
Stock Based Compensation Activity [Line Items]      
Expected life of SAR (years) 4 years 3 months 14 days