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Summary of Significant Accounting Policies - Changes in Company's Accrued Product Warranty Costs (Detail) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Accrued product warranty costs:    
Balance at January 1 $ 99us-gaap_ProductWarrantyAccrual $ 99us-gaap_ProductWarrantyAccrual
Acquisitions during this period   2us-gaap_ProductWarrantyAccrualAdditionsFromBusinessAcquisition
Accruals for product warranties issued during the period 71us-gaap_ProductWarrantyAccrualWarrantiesIssued 71us-gaap_ProductWarrantyAccrualWarrantiesIssued
Changes to accruals for product warranties existing before January 1 1us-gaap_ProductWarrantyAccrualPreexistingIncreaseDecrease 3us-gaap_ProductWarrantyAccrualPreexistingIncreaseDecrease
Foreign currency translation adjustments (2)us-gaap_ProductWarrantyAccrualCurrencyTranslationIncreaseDecrease  
Settlements made during the period (67)us-gaap_ProductWarrantyAccrualPayments (76)us-gaap_ProductWarrantyAccrualPayments
Liabilities held for sale (9)lll_ProductWarrantyAccrualLiabilitiesHeldForSale  
Balance at December 31 $ 93us-gaap_ProductWarrantyAccrual $ 99us-gaap_ProductWarrantyAccrual