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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, 2021
Sep. 30, 2020
Retirement Benefits [Abstract]    
Discount rate for liabilities 2.60% 2.30%
Discount rate for expenses 3.10% 2.90%
Expected return on assets 7.00% 7.20%