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Other Financial Data (Investments) (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Apr. 04, 2015
Mar. 29, 2014
Dec. 31, 2014
Investments      
Cost Basis $ 268us-gaap_MarketableSecuritiesCurrent   $ 246us-gaap_MarketableSecuritiesCurrent
Unrealized Gains 17msi_AccumulatedUnrealizedGain   70msi_AccumulatedUnrealizedGain
Investments 285us-gaap_LongTermInvestments   316us-gaap_LongTermInvestments
Cash proceeds of equity method investment 47us-gaap_ProceedsFromSaleOfEquityMethodInvestments    
Unrecognized gain of equity investment 46msi_GainLossOnSalesOfInvestmentsAndBusinessesNet 7msi_GainLossOnSalesOfInvestmentsAndBusinessesNet  
Available-for-sale securities:      
Investments      
Cost Basis 46us-gaap_MarketableSecuritiesCurrent
/ us-gaap_InvestmentTypeAxis
= us-gaap_AvailableforsaleSecuritiesMember
  33us-gaap_MarketableSecuritiesCurrent
/ us-gaap_InvestmentTypeAxis
= us-gaap_AvailableforsaleSecuritiesMember
Unrealized Gains 17msi_AccumulatedUnrealizedGain
/ us-gaap_InvestmentTypeAxis
= us-gaap_AvailableforsaleSecuritiesMember
  70msi_AccumulatedUnrealizedGain
/ us-gaap_InvestmentTypeAxis
= us-gaap_AvailableforsaleSecuritiesMember
Investments 63us-gaap_LongTermInvestments
/ us-gaap_InvestmentTypeAxis
= us-gaap_AvailableforsaleSecuritiesMember
  103us-gaap_LongTermInvestments
/ us-gaap_InvestmentTypeAxis
= us-gaap_AvailableforsaleSecuritiesMember
Government, agency, and government-sponsored enterprise obligations      
Investments      
Cost Basis 37us-gaap_MarketableSecuritiesCurrent
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
  14us-gaap_MarketableSecuritiesCurrent
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
Unrealized Gains 0msi_AccumulatedUnrealizedGain
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
  0msi_AccumulatedUnrealizedGain
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
Investments 37us-gaap_LongTermInvestments
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
  14us-gaap_LongTermInvestments
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
Corporate bonds      
Investments      
Cost Basis 9us-gaap_MarketableSecuritiesCurrent
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateDebtSecuritiesMember
  16us-gaap_MarketableSecuritiesCurrent
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateDebtSecuritiesMember
Unrealized Gains 0msi_AccumulatedUnrealizedGain
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateDebtSecuritiesMember
  0msi_AccumulatedUnrealizedGain
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateDebtSecuritiesMember
Investments 9us-gaap_LongTermInvestments
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateDebtSecuritiesMember
  16us-gaap_LongTermInvestments
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateDebtSecuritiesMember
Mutual funds      
Investments      
Cost Basis     2us-gaap_MarketableSecuritiesCurrent
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedIncomeFundsMember
Unrealized Gains     0msi_AccumulatedUnrealizedGain
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedIncomeFundsMember
Investments     2us-gaap_LongTermInvestments
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedIncomeFundsMember
Common stock      
Investments      
Cost Basis 0us-gaap_MarketableSecuritiesCurrent
/ us-gaap_InvestmentTypeAxis
= us-gaap_CommonStockMember
  1us-gaap_MarketableSecuritiesCurrent
/ us-gaap_InvestmentTypeAxis
= us-gaap_CommonStockMember
Unrealized Gains 17msi_AccumulatedUnrealizedGain
/ us-gaap_InvestmentTypeAxis
= us-gaap_CommonStockMember
  70msi_AccumulatedUnrealizedGain
/ us-gaap_InvestmentTypeAxis
= us-gaap_CommonStockMember
Investments 17us-gaap_LongTermInvestments
/ us-gaap_InvestmentTypeAxis
= us-gaap_CommonStockMember
  71us-gaap_LongTermInvestments
/ us-gaap_InvestmentTypeAxis
= us-gaap_CommonStockMember
Other investments, at cost      
Investments      
Cost Basis 200us-gaap_MarketableSecuritiesCurrent
/ us-gaap_InvestmentTypeAxis
= us-gaap_CostmethodInvestmentsMember
  191us-gaap_MarketableSecuritiesCurrent
/ us-gaap_InvestmentTypeAxis
= us-gaap_CostmethodInvestmentsMember
Unrealized Gains 0msi_AccumulatedUnrealizedGain
/ us-gaap_InvestmentTypeAxis
= us-gaap_CostmethodInvestmentsMember
  0msi_AccumulatedUnrealizedGain
/ us-gaap_InvestmentTypeAxis
= us-gaap_CostmethodInvestmentsMember
Investments 200us-gaap_LongTermInvestments
/ us-gaap_InvestmentTypeAxis
= us-gaap_CostmethodInvestmentsMember
  191us-gaap_LongTermInvestments
/ us-gaap_InvestmentTypeAxis
= us-gaap_CostmethodInvestmentsMember
Equity method investments      
Investments      
Cost Basis 22us-gaap_MarketableSecuritiesCurrent
/ us-gaap_InvestmentTypeAxis
= us-gaap_EquityMethodInvestmentsMember
  22us-gaap_MarketableSecuritiesCurrent
/ us-gaap_InvestmentTypeAxis
= us-gaap_EquityMethodInvestmentsMember
Unrealized Gains 0msi_AccumulatedUnrealizedGain
/ us-gaap_InvestmentTypeAxis
= us-gaap_EquityMethodInvestmentsMember
  0msi_AccumulatedUnrealizedGain
/ us-gaap_InvestmentTypeAxis
= us-gaap_EquityMethodInvestmentsMember
Investments $ 22us-gaap_LongTermInvestments
/ us-gaap_InvestmentTypeAxis
= us-gaap_EquityMethodInvestmentsMember
  $ 22us-gaap_LongTermInvestments
/ us-gaap_InvestmentTypeAxis
= us-gaap_EquityMethodInvestmentsMember