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Stock-based Compensation Assumptions Used in Black-Scholes Option Valuation Model (Details)
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Stock Based Compensation Activity [Line Items]      
Risk-free interest rate 1.67% 2.77% 2.28%
Employee Stock Option      
Stock Based Compensation Activity [Line Items]      
Expected life of option (years) 6 years 6 months 6 years 4 months 24 days 6 years 6 months
Expected volatility of the Company's stock 22.40% 21.80% 23.70%
Expected dividend yield on the Company's stock 2.49% 3.29% 2.78%