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Long-Term Debt (Details Textual) (USD $)
 12 Months Ended 1 Months Ended 0 Months Ended
Dec. 28, 2014
Dec. 29, 2013
Dec. 30, 2012
Jan. 01, 2012
Sep. 30, 2014
Feb. 02, 2015
Mar. 31, 2013
Feb. 28, 2013
Nov. 30, 2013
Line of Credit Facility [Line Items]                  
Long-term debt $ 609,800,000us-gaap_LongTermDebt $ 538,100,000us-gaap_LongTermDebt              
Maximum capacity under credit facility             750,000,000.0us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity 550,000,000.0us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity  
Credit agreement provides for facility fees Minimum 0.125%tdy_CreditAgreementProvidesForFacilityFeesMinimumPercentage                
Credit agreement provides for facility fees Maximum 0.30%tdy_CreditAgreementProvidesForFacilityFeesMaximumPercentage                
Uncommitted credit line facility 5,000,000.0tdy_UncommittedCreditLineFacility                
Incremental line of credit for standby letters of credit 2,000,000.0tdy_UncommittedCreditLinePermitsIncrementalExtensionsForStandByLettersOfCredit                
Outstanding fund balances under uncommitted credit line facility 0tdy_OutstandingFundBalancesunderUncommittedCreditLineFacility 0tdy_OutstandingFundBalancesunderUncommittedCreditLineFacility              
Total capital leases 10,400,000us-gaap_CapitalLeaseObligations                
Capital leases, current 1,300,000us-gaap_CapitalLeaseObligationsCurrent                
Available capacity under credit facility 750,000,000us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity                
Available borrowings capacity under letters of credit 629,700,000us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity                
Purchase of treasury stock 146,600,000us-gaap_PaymentsForRepurchaseOfCommonStock 0us-gaap_PaymentsForRepurchaseOfCommonStock   34,900,000us-gaap_PaymentsForRepurchaseOfCommonStock          
Total interest expense including credit facility fees and other bank charges 19,000,000us-gaap_InterestExpenseDebt 20,400,000us-gaap_InterestExpenseDebt 18,200,000us-gaap_InterestExpenseDebt            
Net accruals (reversals) for unrecognized tax benefits (1.40%)us-gaap_EffectiveIncomeTaxRateReconciliationTaxContingencies (5.40%)us-gaap_EffectiveIncomeTaxRateReconciliationTaxContingencies 0.70%us-gaap_EffectiveIncomeTaxRateReconciliationTaxContingencies            
Long-term Debt, Maturities, Repayments of Principal in Next Twelve Months 84,900,000us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths                
Long-term Debt, Maturities, Repayments of Principal in Year Two 10,600,000us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo                
Long-term Debt, Maturities, Repayments of Principal in Year Three 120,300,000us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearThree                
Long-term Debt, Maturities, Repayments of Principal in Year Four 131,400,000us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearFour                
Long-term Debt, Maturities, Repayments of Principal in Year Five 177,500,000us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearFive                
Long-term Debt, Maturities, Repayments of Principal after Year Five 170,000,000us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive                
4.04% Senior Notes due September 2015                  
Line of Credit Facility [Line Items]                  
Interest rate 4.04%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorNotesDueSeptemberFifteenTwoThousandFifteenMember		 4.04%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorNotesDueSeptemberFifteenTwoThousandFifteenMember		              
4.74% Senior Notes due September 2017                  
Line of Credit Facility [Line Items]                  
Interest rate 4.74%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorNotesDueSeptemberFifteenTwoThousandSeventeenMember		 4.74%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorNotesDueSeptemberFifteenTwoThousandSeventeenMember		              
2.61% Senior Notes due December 2019                  
Line of Credit Facility [Line Items]                  
Interest rate 2.61%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorUnsecuredNotesDueDecember42019Member		 2.61%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorUnsecuredNotesDueDecember42019Member		              
5.30% Senior Notes due September 2020                  
Line of Credit Facility [Line Items]                  
Interest rate 5.30%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorNotesDueSeptemberFifteenTwoThousandTwentyMember		 5.30%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorNotesDueSeptemberFifteenTwoThousandTwentyMember		              
3.09% Senior Notes due December 2021                  
Line of Credit Facility [Line Items]                  
Interest rate 3.09%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorUnsecuredNotesDueDecember62021Member		 3.09%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorUnsecuredNotesDueDecember62021Member		              
Term Loans due October 2015, weighted average rate of 1.59%                  
Line of Credit Facility [Line Items]                  
Long-term debt 200,000,000.0us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_LoansPayableMember		               200,000,000.0us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_LoansPayableMember
Interest rate 1.28%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_LoansPayableMember		 1.29%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_LoansPayableMember		              
Senior notes | Senior unsecured notes due December 4, 2019 and December 6, 2021                  
Line of Credit Facility [Line Items]                  
Debt instrument, face amount 125,000,000.0us-gaap_DebtInstrumentFaceAmount
/ us-gaap_DebtInstrumentAxis
= tdy_SeniorUnsecuredNotesDueDecember42019andDecember62021Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember		                
Senior notes | 2.61% Senior Notes due December 2019                  
Line of Credit Facility [Line Items]                  
Debt instrument, face amount 30,000,000.0us-gaap_DebtInstrumentFaceAmount
/ us-gaap_DebtInstrumentAxis
= tdy_SeniorUnsecuredNotesDueDecember42019Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember		                
Interest rate 2.61%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= tdy_SeniorUnsecuredNotesDueDecember42019Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember		                
Senior notes | 3.09% Senior Notes due December 2021                  
Line of Credit Facility [Line Items]                  
Debt instrument, face amount 95,000,000.0us-gaap_DebtInstrumentFaceAmount
/ us-gaap_DebtInstrumentAxis
= tdy_SeniorUnsecuredNotesDueDecember62021Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember		                
Interest rate 3.09%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= tdy_SeniorUnsecuredNotesDueDecember62021Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember		                
Accelerated Share Repurchase Program                  
Line of Credit Facility [Line Items]                  
Purchase of treasury stock         91,400,000us-gaap_PaymentsForRepurchaseOfCommonStock
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember		        
Subsequent Event | Accelerated Share Repurchase Program                  
Line of Credit Facility [Line Items]                  
Purchase of treasury stock           134,900,000us-gaap_PaymentsForRepurchaseOfCommonStock
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember		      
Letter of credit                  
Line of Credit Facility [Line Items]                  
Letter of credit, outstanding $ 16,800,000us-gaap_LineOfCredit
/ us-gaap_CreditFacilityAxis
= us-gaap_LetterOfCreditMember