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Business Combinations (Schedule Of Total Intangible Assets) (Details) (USD $)
In Thousands, unless otherwise specified
Jan. 02, 2015
Jan. 03, 2014
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 1,355,122us-gaap_FiniteLivedIntangibleAssetsGross $ 1,250,148us-gaap_FiniteLivedIntangibleAssetsGross
Accumulated Amortization (760,568)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization (630,749)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
Total 594,554us-gaap_FiniteLivedIntangibleAssetsNet 619,399us-gaap_FiniteLivedIntangibleAssetsNet
Developed Product Technology [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount 770,397us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
699,479us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
Accumulated Amortization (445,418)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
(363,389)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
Total 324,979us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
336,090us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
Trade Names And Trademarks [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount 51,216us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= trmb_TradeNamesAndTrademarksMember
46,195us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= trmb_TradeNamesAndTrademarksMember
Accumulated Amortization (33,909)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= trmb_TradeNamesAndTrademarksMember
(28,699)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= trmb_TradeNamesAndTrademarksMember
Total 17,307us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= trmb_TradeNamesAndTrademarksMember
17,496us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= trmb_TradeNamesAndTrademarksMember
Customer Relationships [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount 455,003us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
424,630us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
Accumulated Amortization (226,798)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
(189,338)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
Total 228,205us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
235,292us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
Distribution Rights And Other Intellectual Properties [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount 78,506us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DistributionRightsMember
79,844us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DistributionRightsMember
Accumulated Amortization (54,443)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DistributionRightsMember
(49,323)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DistributionRightsMember
Total $ 24,063us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DistributionRightsMember
$ 30,521us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DistributionRightsMember