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Significant Restructuring Costs - Additional Information (Detail)
$ in Millions
 3 Months Ended 27 Months Ended
Dec. 31, 2017
USD ($)
Employees
Plant
Dec. 31, 2016
USD ($)
Dec. 31, 2017
Employees
Plant
Restructuring Cost and Reserve [Line Items]      
Restructuring and impairment costs | $ $ 158 $ 78  
Number of employees to be severed     9,200
Number of employees severed 1,800   1,800
Number of plants to be closed | Plant     11
Plants closed | Plant 4   4
Building Technologies & Solutions      
Restructuring Cost and Reserve [Line Items]      
Number of employees to be severed     7,300
Number of plants to be closed | Plant     11
Corporate Segment      
Restructuring Cost and Reserve [Line Items]      
Number of employees to be severed     1,700
Power Solutions      
Restructuring Cost and Reserve [Line Items]      
Number of employees to be severed     200