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Retirement Benefits - Schedule of Significant Assumptions Used in Determining Net Periodic Benefit Cost (Income) and Benefit Obligations (Details)
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
U.S. Plans | Pension Benefits      
Net periodic benefit cost assumptions      
Discount rate 5.10% 6.10% 5.65%
Expected return on plan assets 7.00% 7.00% 7.00%
Compensation increase rate 3.60% 3.60% 3.30%
U.S. Plans | Other Postretirement Benefits      
Net periodic benefit cost assumptions      
Discount rate 4.91% 5.95% 5.70%
Expected return on plan assets 0.00% 0.00% 0.00%
Compensation increase rate 0.00% 0.00% 0.00%
Non-U.S. Plans | Pension Benefits      
Net periodic benefit cost assumptions      
Discount rate 3.87% 4.65% 4.35%
Expected return on plan assets 5.24% 5.13% 4.93%
Compensation increase rate 3.22% 3.24% 3.03%
Non-U.S. Plans | Other Postretirement Benefits      
Net periodic benefit cost assumptions      
Discount rate 4.45% 5.75% 5.10%
Expected return on plan assets 0.00% 0.00% 0.00%
Compensation increase rate 0.00% 0.00% 0.00%