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Acquisitions and Divestitures - Narrative (Details) - USD ($)
$ in Millions
1 Months Ended 12 Months Ended
May 31, 2021
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Business Acquisitions        
Payments to acquire businesses, net of cash acquired   $ 269 $ 725 $ 77
Goodwill   17,328 18,335 17,932
Goodwill, acquired during period   219 300  
Significant Unobservable Inputs (Level 3) | Fair Value, Measurements, Recurring        
Business Acquisitions        
Reduction in fair value of contingent earn-out liability   43    
Series of Individually Immaterial Business Acquisitions        
Business Acquisitions        
Business combination, consideration transferred   323    
Payments to acquire businesses, net of cash acquired   269    
Business combination, recognized identifiable assets acquired and liabilities assumed, finite-lived intangibles   123    
Goodwill   194    
Silent-Aire        
Business Acquisitions        
Business combination, consideration transferred $ 755      
Payments to acquire businesses, net of cash acquired 661      
Goodwill 244      
Contingent earn-out liabilities 86      
Business combination, working capital adjustment 8      
Business combination, contingent consideration arrangements, range of outcomes, value, high 250      
Silent-Aire | Significant Unobservable Inputs (Level 3) | Fair Value, Measurements, Recurring        
Business Acquisitions        
Reduction in fair value of contingent earn-out liability   43    
Building Solutions EMEA/LA        
Business Acquisitions        
Goodwill   1,725 2,041 1,987
Goodwill, acquired during period   78 35  
Building Solutions EMEA/LA | Series of Individually Immaterial Business Acquisitions        
Business Acquisitions        
Goodwill   68    
Global Products        
Business Acquisitions        
Goodwill   5,516 5,842 5,562
Goodwill, acquired during period   60 244  
Global Products | Series of Individually Immaterial Business Acquisitions        
Business Acquisitions        
Goodwill   45    
Global Products | Silent-Aire        
Business Acquisitions        
Goodwill, acquired during period $ 244      
Building Solutions Asia Pacific        
Business Acquisitions        
Goodwill   1,116 1,237 1,223
Goodwill, acquired during period   44 0  
Building Solutions Asia Pacific | Series of Individually Immaterial Business Acquisitions        
Business Acquisitions        
Goodwill   44    
Building Solutions North America        
Business Acquisitions        
Goodwill   8,971 9,215 $ 9,160
Goodwill, acquired during period   37 $ 21  
Building Solutions North America | Series of Individually Immaterial Business Acquisitions        
Business Acquisitions        
Goodwill   $ 36