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Goodwill and Other Intangible Assets - Narrative (Details) - USD ($)
3 Months Ended 12 Months Ended
Sep. 30, 2022
Mar. 31, 2022
Jun. 30, 2020
Mar. 31, 2020
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Intangible Assets [Line Items]              
Goodwill, impaired, accumulated impairment loss $ 781,000,000       $ 781,000,000 $ 471,000,000 $ 471,000,000
Goodwill impairment loss         310,000,000 0 0
Goodwill 17,328,000,000       17,328,000,000 18,335,000,000 17,932,000,000
Impairment of intangible assets, indefinite-lived       $ 62,000,000 0 0 0
Impairment, Intangible Asset, Indefinite-Lived (Excluding Goodwill), Statement of Income or Comprehensive Income [Extensible Enumeration]       Restructuring and impairment costs      
Amortization of intangible assets         427,000,000 435,000,000 386,000,000
Building Solutions North America              
Intangible Assets [Line Items]              
Goodwill, impaired, accumulated impairment loss 659,000,000       659,000,000 424,000,000 424,000,000
Goodwill impairment loss         235,000,000 0  
Goodwill 8,971,000,000       8,971,000,000 9,215,000,000 9,160,000,000
Global Products              
Intangible Assets [Line Items]              
Goodwill, impaired, accumulated impairment loss 75,000,000       75,000,000    
Goodwill impairment loss         75,000,000 0  
Goodwill 5,516,000,000       5,516,000,000 5,842,000,000 5,562,000,000
Building Solutions EMEA/LA              
Intangible Assets [Line Items]              
Goodwill, impaired, accumulated impairment loss 47,000,000       47,000,000 47,000,000 47,000,000
Goodwill impairment loss         0 0  
Goodwill 1,725,000,000       1,725,000,000 2,041,000,000 $ 1,987,000,000
Silent-Aire              
Intangible Assets [Line Items]              
Goodwill impairment loss 75,000,000            
Goodwill 183,000,000       183,000,000    
North America Retail              
Intangible Assets [Line Items]              
Goodwill impairment loss   $ 235,000,000 $ 424,000,000        
Goodwill 0       0 $ 235,000,000  
Asia Pacific Subscriber Business              
Intangible Assets [Line Items]              
Indefinite-lived trademarks $ 54,000,000       $ 54,000,000