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Share-Based Compensation - Schedule of Fair Value Assumptions (Details)
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Stock options      
Fair value assumptions for share-based compensation awards      
Average risk-free interest rate 4.22% 3.78% 0.38%
Expected dividend yield 1.79% 1.82% 1.28%
Expected volatility 34.00% 34.00% 31.00%
Expected term (years) 4 years 9 months 18 days 4 years 9 months 18 days 4 years 9 months 18 days
Performance shares      
Fair value assumptions for share-based compensation awards      
Average risk-free interest rate 4.45% 4.08% 0.94%
Expected dividend yield 1.79% 1.82% 1.28%
Expected volatility 30.00% 39.00% 36.00%