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Business Combinations (Narrative) (Details) (USD $)
12 Months Ended 0 Months Ended
Jan. 02, 2015
Jan. 03, 2014
Dec. 28, 2012
Oct. 02, 2012
Business Acquisition [Line Items]        
Number of Businesses Acquired 13us-gaap_NumberOfBusinessesAcquired 16us-gaap_NumberOfBusinessesAcquired 14us-gaap_NumberOfBusinessesAcquired  
Business Combination Pro Forma Information Revenue Of Acquiree Since Acquisition Date Actual Percentage Of Total Revenue 1.00%trmb_BusinessCombinationProFormaInformationRevenueOfAcquireeSinceAcquisitionDateActualPercentageOfTotalRevenue 3.00%trmb_BusinessCombinationProFormaInformationRevenueOfAcquireeSinceAcquisitionDateActualPercentageOfTotalRevenue    
Business Combination Valuation Remeasurement Window 1 year      
Acquisition-related costs $ 13,449,000us-gaap_BusinessCombinationAcquisitionRelatedCosts $ 13,544,000us-gaap_BusinessCombinationAcquisitionRelatedCosts $ 20,455,000us-gaap_BusinessCombinationAcquisitionRelatedCosts  
Net deferred tax liabilities 71,436,000us-gaap_DeferredTaxLiabilities 92,865,000us-gaap_DeferredTaxLiabilities    
Customer Relationships [Member]        
Business Acquisition [Line Items]        
Weighted-average amortization period, years 7 years      
Developed Product Technology [Member]        
Business Acquisition [Line Items]        
Weighted-average amortization period, years 6 years      
Trade Names And Trademarks [Member]        
Business Acquisition [Line Items]        
Weighted-average amortization period, years 5 years      
Distribution Rights And Other Intellectual Properties [Member]        
Business Acquisition [Line Items]        
Weighted-average amortization period, years 8 years      
TMW Acquisition [Member]        
Business Acquisition [Line Items]        
Business Acquisition, Percentage of Voting Interests Acquired       100.00%us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired
/ us-gaap_BusinessAcquisitionAxis
= trmb_TmwAcquisitionMemberMember
Business Combination, Consideration Transferred     333,414,000us-gaap_BusinessCombinationConsiderationTransferred1
/ us-gaap_BusinessAcquisitionAxis
= trmb_TmwAcquisitionMemberMember
 
Significant Acquisition, Percentage of Total Cash Consideration   45.00%trmb_SignificantAcquisitionInTotalPercentageofTotalCashConsideration
/ us-gaap_BusinessAcquisitionAxis
= trmb_TmwAcquisitionMemberMember
   
Business combination, revenue of acquiree     16,500,000us-gaap_BusinessCombinationProFormaInformationRevenueOfAcquireeSinceAcquisitionDateActual
/ us-gaap_BusinessAcquisitionAxis
= trmb_TmwAcquisitionMemberMember
 
TMW Acquisition [Member] | Customer Relationships [Member]        
Business Acquisition [Line Items]        
Weighted-average amortization period, years       8 years
TMW Acquisition [Member] | Developed Product Technology [Member]        
Business Acquisition [Line Items]        
Weighted-average amortization period, years       6 years
Minimum [Member]        
Business Acquisition [Line Items]        
Business Combination, Consideration Transferred 600,000us-gaap_BusinessCombinationConsiderationTransferred1
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
500,000us-gaap_BusinessCombinationConsiderationTransferred1
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
700,000us-gaap_BusinessCombinationConsiderationTransferred1
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
 
Maximum [Member]        
Business Acquisition [Line Items]        
Business Combination, Consideration Transferred $ 83,100,000us-gaap_BusinessCombinationConsiderationTransferred1
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
$ 80,000,000us-gaap_BusinessCombinationConsiderationTransferred1
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
$ 333,400,000us-gaap_BusinessCombinationConsiderationTransferred1
/ us-gaap_RangeAxis
= us-gaap_MaximumMember