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Long-Term Debt (Details) (USD $)
Dec. 28, 2014
Dec. 29, 2013
Nov. 30, 2013
Debt Instrument [Line Items]      
Long-term debt $ 694,700,000us-gaap_DebtInstrumentCarryingAmount $ 540,200,000us-gaap_DebtInstrumentCarryingAmount  
Less: current portion of long-term debt (84,900,000)us-gaap_LongTermDebtCurrent (2,100,000)us-gaap_LongTermDebtCurrent  
Total long-term debt 609,800,000us-gaap_LongTermDebt 538,100,000us-gaap_LongTermDebt  
$750.0 million revolving credit facility, weighted average rate of 1.24% at December 28, 2014, and 1.26% at December 29, 2013      
Debt Instrument [Line Items]      
Long-term debt 105,000,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
74,200,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
 
Weighted average interest rate 1.24%us-gaap_LongtermDebtWeightedAverageInterestRate
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
1.26%us-gaap_LongtermDebtWeightedAverageInterestRate
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
 
4.04% Senior Notes due September 2015      
Debt Instrument [Line Items]      
Long-term debt 75,000,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorNotesDueSeptemberFifteenTwoThousandFifteenMember
75,000,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorNotesDueSeptemberFifteenTwoThousandFifteenMember
 
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      
Debt Instrument [Line Items]      
Long-term debt 100,000,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorNotesDueSeptemberFifteenTwoThousandSeventeenMember
100,000,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorNotesDueSeptemberFifteenTwoThousandSeventeenMember
 
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      
Debt Instrument [Line Items]      
Long-term debt 30,000,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorUnsecuredNotesDueDecember42019Member
0us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorUnsecuredNotesDueDecember42019Member
 
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      
Debt Instrument [Line Items]      
Long-term debt 75,000,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorNotesDueSeptemberFifteenTwoThousandTwentyMember
75,000,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorNotesDueSeptemberFifteenTwoThousandTwentyMember
 
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      
Debt Instrument [Line Items]      
Long-term debt 95,000,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorUnsecuredNotesDueDecember62021Member
0us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_LongtermDebtTypeAxis
= tdy_SeniorUnsecuredNotesDueDecember62021Member
 
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 through March 2019, weighted average rate of 1.28% at December 28, 2014, and 1.29% at December 29, 2013      
Debt Instrument [Line Items]      
Long-term debt 200,000,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_LoansPayableMember
200,000,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_LoansPayableMember
 
Total 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
 
Other debt at various rates due through 2031      
Debt Instrument [Line Items]      
Long-term debt $ 14,700,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_LongtermDebtTypeAxis
= tdy_OtherDebtatVariousRatesDueThroughTwoThousandThirtyOneMember
$ 16,000,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_LongtermDebtTypeAxis
= tdy_OtherDebtatVariousRatesDueThroughTwoThousandThirtyOneMember