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Acquisitions and Divestitures Acquisitions (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Sep. 30, 2020
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Business Acquisitions        
Payments to Acquire Businesses, Net of Cash Acquired   $ 725 $ 77 $ 25
Goodwill, acquired during period   300 56  
Payments to Acquire Additional Interest in Subsidiaries   14 132 0
Goodwill $ 17,932 18,335 17,932 18,178
Business Acquisitions, Not Specified        
Business Acquisitions        
Business Combination, Consideration Transferred   81 82 32
Payments to Acquire Businesses, Net of Cash Acquired   64 77 25
Silent-Aire        
Business Acquisitions        
Business Combination, Consideration Transferred   755    
Payments to Acquire Businesses, Net of Cash Acquired   661    
Business Combination, Contingent Consideration, Liability   86    
Business Combination, working capital adjustment   8    
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, High   250    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents   5    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets, Receivables   141    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Inventory   60    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets, Other   4    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment   33    
Goodwill   244    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill   497    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets   84    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Assets   1,068    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities, Accounts Payable   62    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities, Accrued Compensation and Benefits   6    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities, Deferred Revenue   32    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities, Other   12    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other   196    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Liabilities   308    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net   760    
Customer Relationships | Silent-Aire        
Business Acquisitions        
Finite-lived intangible assets acquired   $ 291    
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life   19 years    
Technology-Based Intangible Assets | Silent-Aire        
Business Acquisitions        
Finite-lived intangible assets acquired   $ 116    
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life   13 years    
Miscellaneous | Silent-Aire        
Business Acquisitions        
Finite-lived intangible assets acquired   $ 23    
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life   1 year    
Global Products        
Business Acquisitions        
Payments to Acquire Additional Interest in Subsidiaries 132      
Compensation charge related to the cash settlement of equity awards $ 39      
Global Products | Business Acquisitions, Not Specified        
Business Acquisitions        
Goodwill, acquired during period     21 11
Global Products | Silent-Aire        
Business Acquisitions        
Goodwill, acquired during period   $ 244    
Building Solutions Asia Pacific | Business Acquisitions, Not Specified        
Business Acquisitions        
Goodwill, acquired during period       8
Building Solutions EMEA/LA | Business Acquisitions, Not Specified        
Business Acquisitions        
Goodwill, acquired during period   35 $ 35 $ 6
Building Solutions North America | Business Acquisitions, Not Specified        
Business Acquisitions        
Goodwill, acquired during period   21    
Trademarks [Member] | Silent-Aire        
Business Acquisitions        
Indefinite-lived Intangible Assets Acquired   $ 67