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Business Combinations (Schedule Of Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net ) (Details) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Jan. 02, 2015
Jan. 03, 2014
Dec. 28, 2012
Business Combination, Separately Recognized Transactions [Line Items]      
Goodwill $ 2,101,169us-gaap_Goodwill $ 1,989,470us-gaap_Goodwill $ 1,815,699us-gaap_Goodwill
TMW Acquisition [Member]      
Business Combination, Separately Recognized Transactions [Line Items]      
Fair value of total purchase consideration     333,414us-gaap_BusinessCombinationConsiderationTransferred1
/ us-gaap_BusinessAcquisitionAxis
= trmb_TmwAcquisitionMemberMember
Fair value of net assets acquired     3,068trmb_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNetExcludingIntangiblesAndDeferredTaxesLiabilities
/ us-gaap_BusinessAcquisitionAxis
= trmb_TmwAcquisitionMemberMember
Identified intangible assets     148,980us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= trmb_TmwAcquisitionMemberMember
Deferred taxes     (52,495)us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredTaxLiabilitiesNoncurrent
/ us-gaap_BusinessAcquisitionAxis
= trmb_TmwAcquisitionMemberMember
Goodwill     233,861us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= trmb_TmwAcquisitionMemberMember
Acquired Companies Group [Member]      
Business Combination, Separately Recognized Transactions [Line Items]      
Fair value of total purchase consideration 331,776us-gaap_BusinessCombinationConsiderationTransferred1
/ us-gaap_BusinessAcquisitionAxis
= trmb_AcquiredCompaniesGroupMember
284,710us-gaap_BusinessCombinationConsiderationTransferred1
/ us-gaap_BusinessAcquisitionAxis
= trmb_AcquiredCompaniesGroupMember
747,822us-gaap_BusinessCombinationConsiderationTransferred1
/ us-gaap_BusinessAcquisitionAxis
= trmb_AcquiredCompaniesGroupMember
Fair value of net assets acquired 41,143trmb_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNetExcludingIntangiblesAndDeferredTaxesLiabilities
/ us-gaap_BusinessAcquisitionAxis
= trmb_AcquiredCompaniesGroupMember
20,919trmb_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNetExcludingIntangiblesAndDeferredTaxesLiabilities
/ us-gaap_BusinessAcquisitionAxis
= trmb_AcquiredCompaniesGroupMember
28,846trmb_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNetExcludingIntangiblesAndDeferredTaxesLiabilities
/ us-gaap_BusinessAcquisitionAxis
= trmb_AcquiredCompaniesGroupMember
Identified intangible assets 155,829us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= trmb_AcquiredCompaniesGroupMember
130,063us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= trmb_AcquiredCompaniesGroupMember
284,861us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= trmb_AcquiredCompaniesGroupMember
Deferred taxes (46,831)us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredTaxLiabilitiesNoncurrent
/ us-gaap_BusinessAcquisitionAxis
= trmb_AcquiredCompaniesGroupMember
(26,326)us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredTaxLiabilitiesNoncurrent
/ us-gaap_BusinessAcquisitionAxis
= trmb_AcquiredCompaniesGroupMember
(69,774)us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredTaxLiabilitiesNoncurrent
/ us-gaap_BusinessAcquisitionAxis
= trmb_AcquiredCompaniesGroupMember
Noncontrolling interest 0us-gaap_BusinessCombinationAcquisitionOfLessThan100PercentNoncontrollingInterestFairValue
/ us-gaap_BusinessAcquisitionAxis
= trmb_AcquiredCompaniesGroupMember
(1,968)us-gaap_BusinessCombinationAcquisitionOfLessThan100PercentNoncontrollingInterestFairValue
/ us-gaap_BusinessAcquisitionAxis
= trmb_AcquiredCompaniesGroupMember
(387)us-gaap_BusinessCombinationAcquisitionOfLessThan100PercentNoncontrollingInterestFairValue
/ us-gaap_BusinessAcquisitionAxis
= trmb_AcquiredCompaniesGroupMember
Goodwill $ 181,635us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= trmb_AcquiredCompaniesGroupMember
$ 162,022us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= trmb_AcquiredCompaniesGroupMember
$ 504,276us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= trmb_AcquiredCompaniesGroupMember