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Significant Restructuring Costs Change in Restructuring Reserve - 2021 Restructuring Plan (Details) - USD ($)
$ in Millions
 3 Months Ended 6 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Mar. 31, 2021
Mar. 31, 2020
Restructuring Cost and Reserve [Line Items]        
Restructuring and impairment costs $ 96 $ 62 $ 96 $ 173
2021 Restructuring Plan        
Restructuring Cost and Reserve [Line Items]        
Restructuring and Related Cost, Total Expected Cost 385   385  
Restructuring and impairment costs 96      
Payments for Restructuring (5)      
Restructuring Reserve, Settled without Cash (54)      
Restructuring Reserve 37   37  
2021 Restructuring Plan | Employee Severance        
Restructuring Cost and Reserve [Line Items]        
Restructuring and impairment costs 32      
Payments for Restructuring (2)      
Restructuring Reserve, Settled without Cash 0      
Restructuring Reserve 30   30  
2021 Restructuring Plan | Long-Lived Asset Impairment        
Restructuring Cost and Reserve [Line Items]        
Restructuring and impairment costs 54      
Payments for Restructuring 0      
Restructuring Reserve, Settled without Cash (54)      
Restructuring Reserve 0   0  
2021 Restructuring Plan | Other Restructuring        
Restructuring Cost and Reserve [Line Items]        
Restructuring and impairment costs 10      
Payments for Restructuring (3)      
Restructuring Reserve, Settled without Cash 0      
Restructuring Reserve $ 7   7  
2021 Restructuring Plan | Building Solutions North America        
Restructuring Cost and Reserve [Line Items]        
Restructuring and impairment costs     38  
2021 Restructuring Plan | Global Products        
Restructuring Cost and Reserve [Line Items]        
Restructuring and impairment costs     34  
2021 Restructuring Plan | Building Solutions EMEA/LA        
Restructuring Cost and Reserve [Line Items]        
Restructuring and impairment costs     10  
2021 Restructuring Plan | Building Solutions Asia Pacific        
Restructuring Cost and Reserve [Line Items]        
Restructuring and impairment costs     7  
2021 Restructuring Plan | Corporate Segment        
Restructuring Cost and Reserve [Line Items]        
Restructuring and impairment costs     $ 7