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Acquisitions and Divestitures - Narrative (Details) - USD ($)
$ in Millions
1 Months Ended 12 Months Ended
Jul. 31, 2023
May 31, 2021
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Business Acquisitions          
Payments to acquire businesses, net of cash acquired     $ 726 $ 269 $ 725
Goodwill     17,936 17,350 $ 18,335
Significant Unobservable Inputs (Level 3) | Fair Value, Measurements, Recurring          
Business Acquisitions          
Reduction in fair value of contingent earn-out liability     39    
FM:Systems          
Business Acquisitions          
Business combination, consideration transferred $ 540        
Payments to acquire businesses, net of cash acquired 465        
Contingent earn-out liabilities $ 75        
Contingent earn-out period 2 years        
Business combination, contingent consideration arrangements, range of outcomes, value, high $ 155        
Goodwill $ 399        
Silent-Aire          
Business Acquisitions          
Business combination, consideration transferred   $ 755      
Payments to acquire businesses, net of cash acquired   661      
Business combination, contingent consideration arrangements, range of outcomes, value, high   250      
Business combination, working capital adjustment   8      
Contingent earn-out liabilities   $ 86      
Silent-Aire | Significant Unobservable Inputs (Level 3) | Fair Value, Measurements, Recurring          
Business Acquisitions          
Reduction in fair value of contingent earn-out liability     30 43  
Series of Individually Immaterial Business Acquisitions          
Business Acquisitions          
Business combination, consideration transferred     306 323  
Payments to acquire businesses, net of cash acquired     260 269  
Goodwill       194  
Business combination, recognized identifiable assets acquired and liabilities assumed, finite-lived intangibles     116 123  
Building Solutions EMEA/LA | Series of Individually Immaterial Business Acquisitions          
Business Acquisitions          
Goodwill     13 68  
Global Products | Series of Individually Immaterial Business Acquisitions          
Business Acquisitions          
Goodwill     119 45  
Building Solutions Asia Pacific | Series of Individually Immaterial Business Acquisitions          
Business Acquisitions          
Goodwill     $ 55 44  
Building Solutions North America | Series of Individually Immaterial Business Acquisitions          
Business Acquisitions          
Goodwill       $ 36