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Stock-Based Compensation - Schedule of Weighted-Average Assumptions Used to Value Options (Details) - Stock options
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Assumptions:      
Expected term (in years) 5 years 4 months 24 days 5 years 4 months 24 days 5 years 4 months 24 days
Expected volatility (as a percent) 34.10% 33.40% 34.50%
Risk-free interest rate (as a percent) 1.63% 2.87% 2.09%
Expected dividend yield (as a percent) 1.37% 1.50% 1.15%