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Significant Restructuring Costs - Additional Information (Detail)
$ in Millions
3 Months Ended 6 Months Ended 36 Months Ended
Mar. 31, 2019
USD ($)
Plant
Employees
Mar. 31, 2018
USD ($)
Dec. 31, 2017
USD ($)
Mar. 31, 2019
USD ($)
Plant
Employees
Mar. 31, 2018
USD ($)
Sep. 30, 2018
Plant
Employees
Restructuring Cost and Reserve [Line Items]            
Restructuring and impairment costs | $ $ 0 $ 0 $ 154 $ 0 $ 154  
Number of employees to be severed           11,300
Number of employees severed 5,100     5,100    
Number of plants to be closed | Plant           12
Plants closed | Plant 10     10    
Building Technologies & Solutions            
Restructuring Cost and Reserve [Line Items]            
Number of employees to be severed           9,100
Number of plants to be closed | Plant           12
Corporate Segment            
Restructuring Cost and Reserve [Line Items]            
Number of employees to be severed           2,200