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Share-Based Compensation - Weighted Average Assumptions (Details)
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Share-based Payment Arrangement [Abstract]      
Risk-free interest rate 1.66% 2.91% 1.89%
Expected dividend yield 1.86% 1.79% 1.96%
Volatility of common stock 28.17% 27.67% 26.54%
Expected life of the options 3 years 9 months 14 days 3 years 9 months 7 days 3 years 9 months 3 days