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Stock-Based Compensation - Valuation Assumptions (Details)
6 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Performance shares    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Risk-free interest rate 4.04% 0.99%
Expected volatility of the Company’s stock 33.50% 30.00%
Stock options    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Risk-free interest rate 3.59% 1.35%
Expected volatility of the Company’s stock 29.40% 27.80%
Expected life of option (years) 5 years 9 months 18 days 6 years
Expected dividend yield on the Company’s stock 2.10% 1.71%