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Retirement Benefits - Schedule of Allocation of Plan Assets (Details) - USD ($)
$ in Millions
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets $ 2,457.4 $ 2,903.9  
Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 67.6 58.7 $ 111.8
U.S. Plans      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 1,618.8 2,091.3  
U.S. Plans | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 1,607.1 2,073.3  
U.S. Plans | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 637.8 813.9  
U.S. Plans | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 969.3 1,259.4  
U.S. Plans | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
U.S. Plans | Cash and cash equivalents | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 3.2 3.1  
U.S. Plans | Cash and cash equivalents | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 3.2 3.1  
U.S. Plans | Cash and cash equivalents | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
U.S. Plans | Cash and cash equivalents | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
U.S. Plans | Mutual funds | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 40.5 53.1  
U.S. Plans | Mutual funds | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 40.5 53.1  
U.S. Plans | Mutual funds | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
U.S. Plans | Mutual funds | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
U.S. Plans | Preferred and common stock | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 381.8 532.9  
U.S. Plans | Preferred and common stock | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 381.8 532.9  
U.S. Plans | Preferred and common stock | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
U.S. Plans | Preferred and common stock | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
U.S. Plans | Common collective trusts | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 447.4 621.1  
U.S. Plans | Common collective trusts | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
U.S. Plans | Common collective trusts | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 447.4 621.1  
U.S. Plans | Common collective trusts | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
U.S. Plans | Preferred and corporate debt | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 387.2 453.1  
U.S. Plans | Preferred and corporate debt | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
U.S. Plans | Preferred and corporate debt | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 387.2 453.1  
U.S. Plans | Preferred and corporate debt | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
U.S. Plans | Government securities | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 242.5 266.4  
U.S. Plans | Government securities | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 212.3 224.8  
U.S. Plans | Government securities | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 30.2 41.6  
U.S. Plans | Government securities | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
U.S. Plans | Common collective trusts | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 104.5 143.6  
U.S. Plans | Common collective trusts | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
U.S. Plans | Common collective trusts | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 104.5 143.6  
U.S. Plans | Common collective trusts | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
U.S. Plans | Insurance contracts | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets   0.0 0.9
U.S. Plans | Private equity and alternative equity | Fair Value Measured at Net Asset Value Per Share      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 11.7 18.0  
Non-U.S. Plans      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 838.6 812.6  
Non-U.S. Plans | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 819.9 796.3  
Non-U.S. Plans | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 162.5 157.8  
Non-U.S. Plans | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 589.8 579.8  
Non-U.S. Plans | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 67.6 58.7  
Non-U.S. Plans | Cash and cash equivalents | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 7.0 13.3  
Non-U.S. Plans | Cash and cash equivalents | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 7.0 13.3  
Non-U.S. Plans | Cash and cash equivalents | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | Cash and cash equivalents | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | Preferred and common stock | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 154.7 143.2  
Non-U.S. Plans | Preferred and common stock | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 154.7 143.2  
Non-U.S. Plans | Preferred and common stock | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | Preferred and common stock | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | Common collective trusts | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 209.7 185.1  
Non-U.S. Plans | Common collective trusts | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | Common collective trusts | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 209.7 185.1  
Non-U.S. Plans | Common collective trusts | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | Preferred and corporate debt | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 30.3 39.7  
Non-U.S. Plans | Preferred and corporate debt | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | Preferred and corporate debt | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 30.3 39.7  
Non-U.S. Plans | Preferred and corporate debt | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | Government securities | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.8 1.3  
Non-U.S. Plans | Government securities | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.8 1.3  
Non-U.S. Plans | Government securities | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | Government securities | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | Common collective trusts | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 294.5 291.3  
Non-U.S. Plans | Common collective trusts | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | Common collective trusts | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 294.5 291.3  
Non-U.S. Plans | Common collective trusts | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | Real estate funds | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 55.3 63.7  
Non-U.S. Plans | Real estate funds | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | Real estate funds | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 55.3 63.7  
Non-U.S. Plans | Real estate funds | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | Real estate funds | Fair Value Measured at Net Asset Value Per Share      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 18.7 16.3  
Non-U.S. Plans | Insurance contracts | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 65.2 54.9  
Non-U.S. Plans | Insurance contracts | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | Insurance contracts | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | Insurance contracts | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 65.2 54.9 106.2
Non-U.S. Plans | Other | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 2.4 3.8  
Non-U.S. Plans | Other | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | Other | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | Other | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets $ 2.4 $ 3.8 $ 4.7