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Revenue Recognition - Disaggregation of Revenue by Operating Segment and by Geographic Region (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Jun. 30, 2024
Jun. 30, 2023
Jun. 30, 2024
Jun. 30, 2023
Disaggregation of Revenue [Line Items]        
Sales $ 2,050.6 $ 2,238.7 $ 6,228.7 $ 6,495.1
North America        
Disaggregation of Revenue [Line Items]        
Sales 1,268.4 1,260.9 3,809.1 3,750.4
Europe, Middle East, and Africa        
Disaggregation of Revenue [Line Items]        
Sales 355.3 494.4 1,142.5 1,353.7
Asia Pacific        
Disaggregation of Revenue [Line Items]        
Sales 260.9 343.5 806.4 974.2
Latin America        
Disaggregation of Revenue [Line Items]        
Sales 166.0 139.9 470.7 416.8
Intelligent Devices        
Disaggregation of Revenue [Line Items]        
Sales 957.3 968.1 2,858.1 2,927.5
Intelligent Devices | North America        
Disaggregation of Revenue [Line Items]        
Sales 636.7 548.5 1,877.6 1,714.6
Intelligent Devices | Europe, Middle East, and Africa        
Disaggregation of Revenue [Line Items]        
Sales 144.0 220.4 468.7 608.2
Intelligent Devices | Asia Pacific        
Disaggregation of Revenue [Line Items]        
Sales 98.6 133.7 296.8 401.7
Intelligent Devices | Latin America        
Disaggregation of Revenue [Line Items]        
Sales 78.0 65.5 215.0 203.0
Software & Control        
Disaggregation of Revenue [Line Items]        
Sales 512.1 750.6 1,685.7 2,065.0
Software & Control | North America        
Disaggregation of Revenue [Line Items]        
Sales 335.6 460.9 1,084.9 1,297.0
Software & Control | Europe, Middle East, and Africa        
Disaggregation of Revenue [Line Items]        
Sales 75.9 137.3 271.8 371.7
Software & Control | Asia Pacific        
Disaggregation of Revenue [Line Items]        
Sales 58.5 113.6 207.3 281.6
Software & Control | Latin America        
Disaggregation of Revenue [Line Items]        
Sales 42.1 38.8 121.7 114.7
Lifecycle Services        
Disaggregation of Revenue [Line Items]        
Sales 581.2 520.0 1,684.9 1,502.6
Lifecycle Services | North America        
Disaggregation of Revenue [Line Items]        
Sales 296.1 251.5 846.6 738.8
Lifecycle Services | Europe, Middle East, and Africa        
Disaggregation of Revenue [Line Items]        
Sales 135.4 136.7 402.0 373.8
Lifecycle Services | Asia Pacific        
Disaggregation of Revenue [Line Items]        
Sales 103.8 96.2 302.3 290.9
Lifecycle Services | Latin America        
Disaggregation of Revenue [Line Items]        
Sales $ 45.9 $ 35.6 $ 134.0 $ 99.1