Significant Restructuring Costs - Additional Information (Detail) $ in Millions	3 Months Ended				6 Months Ended		30 Months Ended
	Mar. 31, 2018 USD ($) Employees Plant	Dec. 31, 2017 USD ($)	Mar. 31, 2017 USD ($)	Dec. 31, 2016 USD ($)	Mar. 31, 2018 USD ($) Employees Plant	Mar. 31, 2017 USD ($)	Mar. 31, 2018 Employees Plant
Restructuring Cost and Reserve [Line Items]
Restructuring and impairment costs | $	$ 0	$ 158	$ 99	$ 78	$ 158	$ 177
Number of employees to be severed							9,200
Number of employees severed	2,700				2,700		2,700
Number of plants to be closed | Plant							11
Plants closed | Plant	4				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