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Retirement Benefits - Schedule of Allocation of Plan Assets (Details) - USD ($)
$ in Millions
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets $ 2,903.9 $ 4,192.2  
Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 58.7 111.8 $ 115.7
U.S. Plans      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 2,091.3 3,047.3  
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 2,073.3 3,017.0  
U.S. Plans | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 813.9 1,542.5  
U.S. Plans | Fair Value (Level 2)      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 1,259.4 1,473.6  
U.S. Plans | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.9  
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 3.1 3.5  
U.S. Plans | Cash and cash equivalents | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 3.1 3.5  
U.S. Plans | Cash and cash equivalents | Fair Value (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 53.1 88.7  
U.S. Plans | Mutual funds | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 53.1 88.7  
U.S. Plans | Mutual funds | Fair Value (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 | Common stock | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 532.9 1,159.8  
U.S. Plans | Common stock | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 532.9 1,159.8  
U.S. Plans | Common stock | Fair Value (Level 2)      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
U.S. Plans | 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 621.1 609.2  
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 | Fair Value (Level 2)      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 621.1 609.2  
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 | Corporate debt | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 453.1 678.2  
U.S. Plans | 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 | Corporate debt | Fair Value (Level 2)      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 453.1 678.2  
U.S. Plans | 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 266.4 357.0  
U.S. Plans | Government securities | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 224.8 290.5  
U.S. Plans | Government securities | Fair Value (Level 2)      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 41.6 66.5  
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 143.6 119.7  
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 | Fair Value (Level 2)      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 143.6 119.7  
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 | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets   0.9  
U.S. Plans | Insurance contracts | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets   0.0  
U.S. Plans | Insurance contracts | Fair Value (Level 2)      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets   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 0.9
U.S. Plans | Private equity | Fair Value Measured at Net Asset Value Per Share      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 18.0 30.3  
Non-U.S. Plans      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 812.6 1,144.9  
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 796.3 1,128.8  
Non-U.S. Plans | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 157.8 180.2  
Non-U.S. Plans | Fair Value (Level 2)      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 579.8 837.7  
Non-U.S. Plans | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 58.7 110.9  
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 13.3 8.5  
Non-U.S. Plans | Cash and cash equivalents | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 13.3 8.5  
Non-U.S. Plans | Cash and cash equivalents | Fair Value (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 | Common stock | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 143.2 170.3  
Non-U.S. Plans | Common stock | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 143.2 170.3  
Non-U.S. Plans | Common stock | Fair Value (Level 2)      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.0 0.0  
Non-U.S. Plans | 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 185.1 334.9  
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 | Fair Value (Level 2)      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 185.1 334.9  
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 | Corporate debt | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 39.7 64.7  
Non-U.S. Plans | 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 | Corporate debt | Fair Value (Level 2)      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 39.7 64.7  
Non-U.S. Plans | 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 1.3 1.4  
Non-U.S. Plans | Government securities | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 1.3 1.4  
Non-U.S. Plans | Government securities | Fair Value (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 291.3 357.0  
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 | Fair Value (Level 2)      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 291.3 357.0  
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 63.7 81.1  
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 | Fair Value (Level 2)      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 63.7 81.1  
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 16.3 16.1  
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 54.9 106.2  
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 | Fair Value (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 54.9 106.2 110.2
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 3.8 4.7  
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 | Fair Value (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 $ 3.8 $ 4.7 $ 4.6