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Segment Information - Financial Information Related to Company's Reportable Segments (Detail) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Dec. 31, 2017
Mar. 31, 2019
Mar. 31, 2018
Segment Reporting Information [Line Items]          
Net sales $ 5,779 $ 5,630   $ 11,243 $ 10,935
Segment EBITA 664 615   1,247 1,271
Corporate expenses (167) (162)   (303) (300)
Amortization of intangible assets (98) (92)   (195) (184)
Restructuring and impairment costs 0 0 $ (154) 0 (154)
Equity Securities, FV-NI, Unrealized Gain (Loss) Restricted 20 0   (1)  
Net mark-to-market adjustments on pension plans       (1) 0
Net financing charges (98) (107)   (183) (209)
Income from continuing operations before income taxes 321 254   565 424
Building Solutions North America          
Segment Reporting Information [Line Items]          
Net sales 2,187     4,303  
Building Solutions EMEA/LA          
Segment Reporting Information [Line Items]          
Net sales 878     1,785  
Building Solutions Asia Pacific          
Segment Reporting Information [Line Items]          
Net sales 628     1,241  
Global Products          
Segment Reporting Information [Line Items]          
Net sales 2,086     3,914  
Building Technologies & Solutions | Building Solutions North America          
Segment Reporting Information [Line Items]          
Net sales 2,187 2,097   4,303 4,109
Segment EBITA 257 239   507 466
Building Technologies & Solutions | Building Solutions EMEA/LA          
Segment Reporting Information [Line Items]          
Net sales 878 907   1,785 1,822
Segment EBITA 80 77   157 146
Building Technologies & Solutions | Building Solutions Asia Pacific          
Segment Reporting Information [Line Items]          
Net sales 628 586   1,241 1,183
Segment EBITA 76 71   142 145
Building Technologies & Solutions | Global Products          
Segment Reporting Information [Line Items]          
Net sales 2,086 2,040   3,914 3,821
Segment EBITA $ 251 $ 228   $ 441 $ 514