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Share-Based Compensation - Assumptions for Estimation of Fair Values of Stock Appreciation Rights Granted During Reporting Periods (Details) - Stock Appreciation Rights (SARs) - $ / shares
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Risk-free interest rate 4.51% 3.78% 1.41%
Expected volatility 22.00% 21.00% 22.00%
Expected dividend yield 1.59% 1.53% 1.42%
Expected life 7 years 7 years 7 years 3 months 18 days
Fair value derived (in USD per share) $ 63.05 $ 57.80 $ 49.45