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Convertible Senior Notes (Narrative) (Details) (USD $)
Share data in Millions, except Per Share data, unless otherwise specified
3 Months Ended 0 Months Ended 12 Months Ended
Jul. 01, 2007
May 01, 2014
Jul. 03, 2011
Dec. 28, 2014
Debt Instrument [Line Items]        
Accelerated stock repurchase program, authorized amount $ 3,000,000,000us-gaap_StockRepurchaseProgramAuthorizedAmount      
Convertible Senior Notes 3.00% [Member]        
Debt Instrument [Line Items]        
Aggregate principal amount       1,000,000,000us-gaap_DebtInstrumentFaceAmount
/ us-gaap_DebtInstrumentAxis
= lltc_ConvertibleSeniorNotesMember
Interest rate       3.00%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= lltc_ConvertibleSeniorNotesMember
Debt instrument, convertible, principal amount   845,100,000lltc_DebtInstrumentConvertiblePrincipalAmount
/ us-gaap_DebtInstrumentAxis
= lltc_ConvertibleSeniorNotesMember
   
Conversion rate   24.582us-gaap_DebtInstrumentConvertibleConversionRatio1
/ us-gaap_DebtInstrumentAxis
= lltc_ConvertibleSeniorNotesMember
   
Conversion price   $ 40.68us-gaap_DebtInstrumentConvertibleConversionPrice1
/ us-gaap_DebtInstrumentAxis
= lltc_ConvertibleSeniorNotesMember
   
Conversion premium settled in common stock   138,900,000lltc_DebtInstrumentConvertibleConversionPremiumSettleInEquitySecurities
/ us-gaap_DebtInstrumentAxis
= lltc_ConvertibleSeniorNotesMember
   
Conversion premium settled in common stock, shares   2.9lltc_DebtInstrumentConvertibleConversionPremiumSettleInEquitySecuritiesShares
/ us-gaap_DebtInstrumentAxis
= lltc_ConvertibleSeniorNotesMember
   
Effective interest rate of the Notes       5.69%us-gaap_DebtInstrumentInterestRateEffectivePercentage
/ us-gaap_DebtInstrumentAxis
= lltc_ConvertibleSeniorNotesMember
Convertible Senior Notes 3.125% [Member]        
Debt Instrument [Line Items]        
Aggregate principal amount       700,000,000us-gaap_DebtInstrumentFaceAmount
/ us-gaap_DebtInstrumentAxis
= lltc_ConvertibleSeniorNotesBMember
Interest rate       3.125%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= lltc_ConvertibleSeniorNotesBMember
Convertible senior notes amount redeemed for cash and marketable securities     395,800,000us-gaap_RepaymentsOfConvertibleDebt
/ us-gaap_DebtInstrumentAxis
= lltc_ConvertibleSeniorNotesBMember
 
Convertible Debt [Member]        
Debt Instrument [Line Items]        
Net proceeds from issuance 1,678,000,000us-gaap_ProceedsFromDebtNetOfIssuanceCosts
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_ConvertibleDebtMember
     
Costs deducted at issuance $ 22,000,000us-gaap_PaymentsOfDebtIssuanceCosts
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_ConvertibleDebtMember