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Revenue Recognition - Disaggregation of Revenue (Details) - USD ($)
$ in Millions
 3 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Disaggregation of Revenue [Line Items]    
Total $ 5,426 $ 5,209
Products and systems    
Disaggregation of Revenue [Line Items]    
Total 3,685 3,604
Services    
Disaggregation of Revenue [Line Items]    
Total 1,741 1,605
Building Solutions North America    
Disaggregation of Revenue [Line Items]    
Total 2,744 2,487
Building Solutions North America | Products and systems    
Disaggregation of Revenue [Line Items]    
Total 1,695 1,518
Building Solutions North America | Services    
Disaggregation of Revenue [Line Items]    
Total 1,049 969
Building Solutions EMEA/LA    
Disaggregation of Revenue [Line Items]    
Total 1,073 1,038
Building Solutions EMEA/LA | Products and systems    
Disaggregation of Revenue [Line Items]    
Total 574 572
Building Solutions EMEA/LA | Services    
Disaggregation of Revenue [Line Items]    
Total 499 466
Building Solutions Asia Pacific    
Disaggregation of Revenue [Line Items]    
Total 527 507
Building Solutions Asia Pacific | Products and systems    
Disaggregation of Revenue [Line Items]    
Total 334 337
Building Solutions Asia Pacific | Services    
Disaggregation of Revenue [Line Items]    
Total 193 170
Global Products    
Disaggregation of Revenue [Line Items]    
Total 1,082 1,177
Global Products | Products and systems    
Disaggregation of Revenue [Line Items]    
Total 1,082 1,177
Global Products | HVAC    
Disaggregation of Revenue [Line Items]    
Total 468 533
Global Products | Fire & Security    
Disaggregation of Revenue [Line Items]    
Total 522 547
Global Products | Industrial Refrigeration    
Disaggregation of Revenue [Line Items]    
Total 92 97
Global Products | Services    
Disaggregation of Revenue [Line Items]    
Total $ 0 $ 0