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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, 2025
Sep. 30, 2024
Retirement Benefits [Abstract]    
Discount rate for liabilities 5.10% 4.80%
Discount rate for expenses 4.90% 5.70%
Expected return on assets 6.20% 6.20%