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Significant Restructuring and Impairment Costs - Schedule of Restructuring Reserve by Type of Cost (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Restructuring Reserve [Roll Forward]    
Impairment of long-lived assets held-for-use $ 17 $ 98
Global Products    
Restructuring Reserve [Roll Forward]    
Impairment of long-lived assets held-for-use 3 50
Building Solutions North America    
Restructuring Reserve [Roll Forward]    
Impairment of long-lived assets held-for-use 1 33
Corporate    
Restructuring Reserve [Roll Forward]    
Impairment of long-lived assets held-for-use 5 6
Building Solutions EMEA/LA    
Restructuring Reserve [Roll Forward]    
Impairment of long-lived assets held-for-use 2 5
Building Solutions Asia Pacific    
Restructuring Reserve [Roll Forward]    
Impairment of long-lived assets held-for-use 6 4
2021 Restructuring Plan    
Restructuring Reserve [Roll Forward]    
Restructuring reserve, beginning balance 65 242
Additional restructuring costs 182  
Utilized—cash (147) (79)
Utilized—noncash (17) (98)
Currency translation (1)  
Restructuring reserve, ending balance 82 65
2021 Restructuring Plan | Global Products    
Restructuring Reserve [Roll Forward]    
Additional restructuring costs 75  
2021 Restructuring Plan | Building Solutions North America    
Restructuring Reserve [Roll Forward]    
Additional restructuring costs 41  
2021 Restructuring Plan | Corporate    
Restructuring Reserve [Roll Forward]    
Additional restructuring costs 12  
2021 Restructuring Plan | Building Solutions EMEA/LA    
Restructuring Reserve [Roll Forward]    
Additional restructuring costs 33  
2021 Restructuring Plan | Building Solutions Asia Pacific    
Restructuring Reserve [Roll Forward]    
Additional restructuring costs 21  
2021 Restructuring Plan | Employee Severance and Termination Benefits    
Restructuring Reserve [Roll Forward]    
Restructuring reserve, beginning balance 40 68
Additional restructuring costs 116  
Utilized—cash (81) (28)
Utilized—noncash 0 0
Currency translation (1)  
Restructuring reserve, ending balance 74 40
2021 Restructuring Plan | Long-Lived Asset Impairments    
Restructuring Reserve [Roll Forward]    
Restructuring reserve, beginning balance 0 98
Additional restructuring costs 17  
Utilized—cash 0 0
Utilized—noncash (17) (98)
Currency translation 0  
Restructuring reserve, ending balance 0 0
2021 Restructuring Plan | Other    
Restructuring Reserve [Roll Forward]    
Restructuring reserve, beginning balance 25 76
Additional restructuring costs 49  
Utilized—cash (66) (51)
Utilized—noncash 0 0
Currency translation 0  
Restructuring reserve, ending balance $ 8 $ 25