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Share-Based Compensation - Schedule of Fair Value Assumptions (Details)
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Stock options      
Fair value assumptions for share-based compensation awards      
Average risk-free interest rate 0.38% 0.38% 1.63%
Expected dividend yield 1.28% 1.73% 2.08%
Expected volatility 31.00% 31.00% 24.00%
Expected term (years) 4 years 9 months 18 days 4 years 10 months 24 days 4 years 10 months 24 days
Performance shares      
Fair value assumptions for share-based compensation awards      
Average risk-free interest rate 0.94% 0.19% 1.58%
Expected dividend yield 1.28% 1.73% 2.06%
Expected volatility 36.00% 37.00% 25.00%