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Intangible Assets and Goodwill (Narrative) (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 0 Months Ended
Apr. 04, 2015
Mar. 29, 2014
Nov. 18, 2014
Dec. 31, 2014
Intangible Assets And Goodwill        
Amortization expense on intangibles $ 2us-gaap_AmortizationOfIntangibleAssets $ 1us-gaap_AmortizationOfIntangibleAssets    
Finite-Lived Intangible Assets, Future Amortization Expense        
2015 7us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear      
2016 7us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo      
2017 7us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree      
2018 6us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour      
2019 5us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive      
2020 2us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseAfterYearFive      
Business Acquisition [Line Items]        
Goodwill 390us-gaap_Goodwill     383us-gaap_Goodwill
Acquired Communications Software Provider        
Business Acquisition [Line Items]        
Payments to acquire businesses, gross     22us-gaap_PaymentsToAcquireBusinessesGross
/ us-gaap_BusinessAcquisitionAxis
= msi_BusinessAcquisitionAcquireeOneMember
 
Goodwill 7us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= msi_BusinessAcquisitionAcquireeOneMember
     
Identifiable intangible assets recognized, other than goodwill 12us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill
/ us-gaap_BusinessAcquisitionAxis
= msi_BusinessAcquisitionAcquireeOneMember
     
Business Acquisition of Two Public Safety Software-Based Solutions        
Business Acquisition [Line Items]        
Payments to acquire businesses, gross 50us-gaap_PaymentsToAcquireBusinessesGross
/ us-gaap_BusinessAcquisitionAxis
= msi_BusinessAcquisitionofTwoPublicSafetySoftwareBasedSolutionsMember
     
Number of acquisitions 2us-gaap_NumberOfBusinessesAcquired
/ us-gaap_BusinessAcquisitionAxis
= msi_BusinessAcquisitionofTwoPublicSafetySoftwareBasedSolutionsMember
     
First of Two Acquisition of Public Safety Software-Based Solutions        
Business Acquisition [Line Items]        
Identifiable intangible assets recognized 5us-gaap_IndefinitelivedIntangibleAssetsAcquired
/ us-gaap_BusinessAcquisitionAxis
= msi_FirstofTwoAcquisitionofPublicSafetySoftwareBasedSolutionsMember
     
Other Assets | Second of Two Acquisition of Public Safety Software-Based Solutions        
Business Acquisition [Line Items]        
Identifiable intangible assets recognized $ 44us-gaap_IndefinitelivedIntangibleAssetsAcquired
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherAssetsMember
/ us-gaap_BusinessAcquisitionAxis
= msi_SecondofTwoAcquisitionofPublicSafetySoftwareBasedSolutionsMember