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Stockholder's Equity (Narrative) (Details) (USD $)
12 Months Ended 1 Months Ended 0 Months Ended
Dec. 28, 2014
Increment
Dec. 29, 2013
Dec. 30, 2012
Jan. 01, 2012
Sep. 30, 2014
Feb. 02, 2015
Feb. 28, 2015
installment
Oct. 31, 2011
Jan. 27, 2015
Treasury Stock                  
Treasury shares repurchased (shares) 1,396,290us-gaap_TreasuryStockSharesAcquired 0us-gaap_TreasuryStockSharesAcquired 0us-gaap_TreasuryStockSharesAcquired            
Purchase of treasury stock $ 146,600,000us-gaap_PaymentsForRepurchaseOfCommonStock $ 0us-gaap_PaymentsForRepurchaseOfCommonStock   $ 34,900,000us-gaap_PaymentsForRepurchaseOfCommonStock          
Treasury stock (shares) 1,042,281us-gaap_TreasuryStockShares 0us-gaap_TreasuryStockShares   577,923us-gaap_TreasuryStockShares          
Line of Credit Facility, Current Borrowing Capacity 750,000,000us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity                
Preferred Stock                  
Preferred stock issued                     
Preferred stock, shares outstanding                     
Stock Incentive Plan                  
Stock options maximum life 10 years                
Period used for the exchange traded option included the longest dated options 3 months                
Grant date fair value of stock options granted $ 36.19us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue $ 27.17us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue $ 23.90us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue            
Non-Employee Director Stock Compensation Plan                  
Pretax intrinsic value of options exercised 23,200,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue 14,200,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue              
Intrinsic value of options outstanding 120,500,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue                
Intrinsic value of options exercisable 98,900,000us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1                
Amount of cash received from exercise of stock options 18,300,000us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions 12,100,000us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions              
Performance Share Plan                  
Stock options proportion exercisable on first second and third year 0.3333tdy_StockOptionsProportionExercisableOnFirstSecondAndThirdYear                
Stock options                  
Stock Incentive Plan                  
Vesting period over which employee stock option grants are evenly expensed 3 years                
Share-based compensation expense 14,000,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
10,700,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
8,000,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
           
Non-Employee Director Stock Compensation Plan                  
Unrecognized compensation cost related to non-vested awards 23,500,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
               
Weighted average period for non-vested awards expected to be recognized 1 year 4 months 18 days                
Non-employee stock option                  
Stock Incentive Plan                  
Stock options maximum life 10 years                
Non-Employee Director Stock Compensation Plan                  
Period after issuance until stock options exercisable 1 year                
Performance shares                  
Stock Incentive Plan                  
Share-based compensation expense 6,200,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
3,200,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
3,200,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
           
Performance Share Plan                  
Performance period for judging awards 3 years                
Share based compensation arrangement by share based payment award, shares expected to be issued in three equal installments 33,411tdy_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesExpectedToBeIssuedInThreeEqualInstallments
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
    109,557tdy_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesExpectedToBeIssuedInThreeEqualInstallments
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
         
Market price of issued shares     $ 55.58tdy_MarketPriceOfShareIssueUnderPerformanceSharePlan
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
           
Number of shares issued 19,742tdy_NumberOfSharesIssuedUnderPerformanceSharePlan
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
23,519tdy_NumberOfSharesIssuedUnderPerformanceSharePlan
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
36,531tdy_NumberOfSharesIssuedUnderPerformanceSharePlan
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
           
Restricted stock                  
Stock Incentive Plan                  
Share-based compensation expense 2,800,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
2,100,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
1,400,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
           
Non-Employee Director Stock Compensation Plan                  
Unrecognized compensation cost related to non-vested awards 2,200,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
               
Weighted average period for non-vested awards expected to be recognized 1 year                
Restricted Stock Award Program                  
Shares of restricted stock issued and outstanding 108,726tdy_SharesOfRestrictedStockIssuedAndOutstanding
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
               
Subsequent Event | Performance shares                  
Performance Share Plan                  
Number of equal annual installments             3tdy_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfEqualAnnualInstallments
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
   
Common Stock                  
Treasury Stock                  
Number of shares authorized to be repurchased               2,500,000us-gaap_StockRepurchaseProgramNumberOfSharesAuthorizedToBeRepurchased
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
 
Treasury shares repurchased (shares)       658,562us-gaap_TreasuryStockSharesAcquired
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
         
Accelerated Share Repurchase Program                  
Treasury Stock                  
Number of shares authorized to be repurchased 1,030,000us-gaap_StockRepurchaseProgramNumberOfSharesAuthorizedToBeRepurchased
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember
               
Treasury shares repurchased (shares) 1,396,290us-gaap_TreasuryStockSharesAcquired
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember
      927,000us-gaap_TreasuryStockSharesAcquired
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember
       
Purchase of treasury stock         91,400,000us-gaap_PaymentsForRepurchaseOfCommonStock
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember
       
Stock repurchase program, authorized amount         101,600,000us-gaap_StockRepurchaseProgramAuthorizedAmount1
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember
       
Treasury stock acquired, average cost per share $ 97.70us-gaap_TreasuryStockAcquiredAverageCostPerShare
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember
      $ 98.62us-gaap_TreasuryStockAcquiredAverageCostPerShare
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember
       
Percentage of shares repurchased         90.00%tdy_ShareRepurchaseProgramPercentageofSharesRepurchased
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember
       
Stock repurchase program, remaining number of shares authorized to be repurchased 342,148us-gaap_StockRepurchaseProgramRemainingNumberOfSharesAuthorizedToBeRepurchased
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember
               
Accelerated Share Repurchase Program | Subsequent Event                  
Treasury Stock                  
Number of shares authorized to be repurchased           1,500,000us-gaap_StockRepurchaseProgramNumberOfSharesAuthorizedToBeRepurchased
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
    2,500,000us-gaap_StockRepurchaseProgramNumberOfSharesAuthorizedToBeRepurchased
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Treasury shares repurchased (shares)           1,425.000us-gaap_TreasuryStockSharesAcquired
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
     
Purchase of treasury stock           134,900,000us-gaap_PaymentsForRepurchaseOfCommonStock
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
     
Stock repurchase program, authorized amount           142,000,000us-gaap_StockRepurchaseProgramAuthorizedAmount1
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
     
Treasury stock acquired, average cost per share           $ 94.68us-gaap_TreasuryStockAcquiredAverageCostPerShare
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
     
Percentage of shares repurchased           95.00%tdy_ShareRepurchaseProgramPercentageofSharesRepurchased
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
     
Accelerated Share Repurchase Program | Subsequent Event | Revolving credit facility                  
Treasury Stock                  
Purchase of treasury stock           $ 120,000,000us-gaap_PaymentsForRepurchaseOfCommonStock
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_ShareRepurchaseProgramAxis
= tdy_AcceleratedShareRepurchaseProgramMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember