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Restructuring and Related Costs - Schedule of Restructuring Reserve by Segment (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Restructuring Cost and Reserve [Line Items]    
Restructuring costs and asset impairment charges $ 33 $ 35
Current Restructuring Plans    
Restructuring Cost and Reserve [Line Items]    
Restructuring costs and asset impairment charges 33  
Building Solutions North America | Current Restructuring Plans    
Restructuring Cost and Reserve [Line Items]    
Restructuring costs and asset impairment charges 6  
Building Solutions EMEA/LA | Current Restructuring Plans    
Restructuring Cost and Reserve [Line Items]    
Restructuring costs and asset impairment charges 11  
Building Solutions Asia Pacific | Current Restructuring Plans    
Restructuring Cost and Reserve [Line Items]    
Restructuring costs and asset impairment charges 2  
Global Products | Current Restructuring Plans    
Restructuring Cost and Reserve [Line Items]    
Restructuring costs and asset impairment charges 9  
Corporate | Current Restructuring Plans    
Restructuring Cost and Reserve [Line Items]    
Restructuring costs and asset impairment charges $ 5