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Retirement Benefit Plans - Weighted-Average Assumptions Used in Developing Benefit Obligation and Net Pension Expense (Details)
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Retirement Benefits [Abstract]    
Discount rate for liabilities 4.80% 5.60%
Discount rate for expenses 5.70% 5.10%
Expected return on assets 6.20% 6.20%