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Basis of Presentation and Accounting Policies - Reconciliation of Basic and Diluted Earnings Per Share (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Reconciled Basic and Diluted EPS      
Net income attributable to Rockwell Automation, Inc. $ 932.2 $ 1,358.1 $ 1,023.4
Less: Allocation to participating securities (2.9) (2.1) (1.0)
Net income available to common shareowners $ 929.3 $ 1,356.0 $ 1,022.4
Basic weighted average outstanding shares (in shares) 115.9 116.0 115.8
Effect of dilutive securities      
Diluted weighted average outstanding shares (in shares) 116.7 117.1 116.6
Earnings per share:      
Basic (in dollars per share) $ 8.02 $ 11.69 $ 8.83
Diluted (in dollars per share) $ 7.97 $ 11.58 $ 8.77
Stock options      
Effect of dilutive securities      
Stock options (in shares) 0.7 1.0 0.7
Performance shares      
Effect of dilutive securities      
Stock options (in shares) 0.1 0.1 0.1