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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, 2022
Sep. 30, 2021
Retirement Benefits [Abstract]    
Discount rate for liabilities 5.20% 2.60%
Discount rate for expenses 2.90% 3.10%
Expected return on assets 6.40% 7.00%