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Revenue Recognition - Disaggregation of Revenue by Operating Segment and by Geographic Region (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Disaggregation of Revenue [Line Items]    
Sales $ 1,881.0 $ 2,052.0
North America    
Disaggregation of Revenue [Line Items]    
Sales 1,150.0 1,247.0
Europe, Middle East, and Africa    
Disaggregation of Revenue [Line Items]    
Sales 332.0 388.0
Asia Pacific    
Disaggregation of Revenue [Line Items]    
Sales 251.0 276.0
Latin America    
Disaggregation of Revenue [Line Items]    
Sales 148.0 141.0
Intelligent Devices    
Disaggregation of Revenue [Line Items]    
Sales 806.0 927.0
Intelligent Devices | North America    
Disaggregation of Revenue [Line Items]    
Sales 519.0 604.0
Intelligent Devices | Europe, Middle East, and Africa    
Disaggregation of Revenue [Line Items]    
Sales 135.0 166.0
Intelligent Devices | Asia Pacific    
Disaggregation of Revenue [Line Items]    
Sales 86.0 98.0
Intelligent Devices | Latin America    
Disaggregation of Revenue [Line Items]    
Sales 66.0 59.0
Software & Control    
Disaggregation of Revenue [Line Items]    
Sales 529.0 604.0
Software & Control | North America    
Disaggregation of Revenue [Line Items]    
Sales 365.0 387.0
Software & Control | Europe, Middle East, and Africa    
Disaggregation of Revenue [Line Items]    
Sales 73.0 100.0
Software & Control | Asia Pacific    
Disaggregation of Revenue [Line Items]    
Sales 55.0 79.0
Software & Control | Latin America    
Disaggregation of Revenue [Line Items]    
Sales 36.0 38.0
Lifecycle Services    
Disaggregation of Revenue [Line Items]    
Sales 546.0 521.0
Lifecycle Services | North America    
Disaggregation of Revenue [Line Items]    
Sales 266.0 256.0
Lifecycle Services | Europe, Middle East, and Africa    
Disaggregation of Revenue [Line Items]    
Sales 124.0 122.0
Lifecycle Services | Asia Pacific    
Disaggregation of Revenue [Line Items]    
Sales 110.0 99.0
Lifecycle Services | Latin America    
Disaggregation of Revenue [Line Items]    
Sales $ 46.0 $ 44.0