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Retirement Benefits - Schedule of Allocation of Plan Assets (Details) - USD ($)
$ in Millions
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets $ 4,192.2 $ 3,838.0  
Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 111.8 115.7 $ 100.8
U.S. Plans      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 3,047.3 2,817.8  
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 3,017.0 2,775.9  
U.S. Plans | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 1,542.5 1,306.2  
U.S. Plans | Fair Value (Level 2)      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 1,473.6 1,468.8  
U.S. Plans | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.9 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 3.5 1.4  
U.S. Plans | Cash and cash equivalents | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 3.5 1.4  
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 88.7 112.4  
U.S. Plans | Mutual funds | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 88.7 112.4  
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 1,159.8 947.7  
U.S. Plans | Common stock | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 1,159.8 947.7  
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 609.2 467.4  
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 609.2 467.4  
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 678.2 699.3  
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 678.2 699.3  
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 357.0 377.8  
U.S. Plans | Government securities | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 290.5 244.7  
U.S. Plans | Government securities | Fair Value (Level 2)      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 66.5 133.1  
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 119.7 169.0  
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 119.7 169.0  
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 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 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 0.0  
U.S. Plans | Insurance contracts | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 0.9 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 30.3 23.5  
U.S. Plans | 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 0.0 18.4  
Non-U.S. Plans      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 1,144.9 1,020.2  
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 1,128.8 1,004.9  
Non-U.S. Plans | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 180.2 65.4  
Non-U.S. Plans | Fair Value (Level 2)      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 837.7 824.7  
Non-U.S. Plans | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 110.9 114.8  
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 8.5 1.9  
Non-U.S. Plans | Cash and cash equivalents | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 8.5 1.9  
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 170.3 62.4  
Non-U.S. Plans | Common stock | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 170.3 62.4  
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 334.9 329.3  
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 | Fair Value (Level 2)      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 334.9 329.3  
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 | Corporate debt | Fair Value, Inputs, Level 1, 2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 64.7 65.6  
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 64.7 65.6  
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 1.4 1.1  
Non-U.S. Plans | Government securities | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan fair value of plan assets 1.4 1.1  
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 357.0 350.9  
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 357.0 350.9  
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 | 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 81.1 78.9  
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 81.1 78.9  
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 16.1 15.3  
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 106.2 110.2  
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 106.2 110.2 95.4
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 4.7 4.6  
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 $ 4.7 $ 4.6 $ 4.5