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Revenue Recognition Disaggregation of Revenue (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Disaggregation of Revenue [Line Items]    
Revenue, Net $ 5,341 $ 5,576
Products and Systems [Domain]    
Disaggregation of Revenue [Line Items]    
Revenue, Net 3,799 4,036
Services [Domain]    
Disaggregation of Revenue [Line Items]    
Revenue, Net 1,542 1,540
Building Solutions North America    
Disaggregation of Revenue [Line Items]    
Revenue, Net 2,034 2,167
Building Solutions North America | Products and Systems [Domain]    
Disaggregation of Revenue [Line Items]    
Revenue, Net 1,242 1,356
Building Solutions North America | Services [Domain]    
Disaggregation of Revenue [Line Items]    
Revenue, Net 792 811
Building Solutions EMEA/LA    
Disaggregation of Revenue [Line Items]    
Revenue, Net 906 928
Building Solutions EMEA/LA | Products and Systems [Domain]    
Disaggregation of Revenue [Line Items]    
Revenue, Net 426 457
Building Solutions EMEA/LA | Services [Domain]    
Disaggregation of Revenue [Line Items]    
Revenue, Net 480 471
Building Solutions Asia Pacific    
Disaggregation of Revenue [Line Items]    
Revenue, Net 615 629
Building Solutions Asia Pacific | Products and Systems [Domain]    
Disaggregation of Revenue [Line Items]    
Revenue, Net 345 371
Building Solutions Asia Pacific | Services [Domain]    
Disaggregation of Revenue [Line Items]    
Revenue, Net 270 258
Global Products    
Disaggregation of Revenue [Line Items]    
Revenue, Net 1,786 1,852
Global Products | Global Products - HVAC [Domain]    
Disaggregation of Revenue [Line Items]    
Revenue, Net 1,249 1,300
Global Products | Global Products - Fire & Security [Domain]    
Disaggregation of Revenue [Line Items]    
Revenue, Net 488 492
Global Products | Global Products - Industrial Refrigeration [Domain]    
Disaggregation of Revenue [Line Items]    
Revenue, Net 49 60
Global Products | Products and Systems [Domain]    
Disaggregation of Revenue [Line Items]    
Revenue, Net 1,786 1,852
Global Products | Services [Domain]    
Disaggregation of Revenue [Line Items]    
Revenue, Net $ 0 $ 0