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Fair Value Measurements (Additional Fair Value Information Relating To Company's Financial Instruments Outstanding) (Detail) (USD $)
In Millions, unless otherwise specified
Apr. 03, 2015
Jan. 02, 2015
Apr. 04, 2014
Jan. 03, 2014
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Business Combination, Contingent Consideration, Liability $ 2.3us-gaap_BusinessCombinationContingentConsiderationLiability [1] $ 3.7us-gaap_BusinessCombinationContingentConsiderationLiability [1]    
Cash and Cash Equivalents, at Carrying Value 145.7us-gaap_CashAndCashEquivalentsAtCarryingValue 148.0us-gaap_CashAndCashEquivalentsAtCarryingValue 165.2us-gaap_CashAndCashEquivalentsAtCarryingValue 147.2us-gaap_CashAndCashEquivalentsAtCarryingValue
Long-term Debt 663.4us-gaap_LongTermDebt 738.4us-gaap_LongTermDebt    
Senior Notes [Member]        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Notes Payable, Noncurrent 400.0us-gaap_LongTermNotesPayable
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
400.0us-gaap_LongTermNotesPayable
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
   
Note Payable Fair Value 422.6us-gaap_NotesPayableFairValueDisclosure
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
396.9us-gaap_NotesPayableFairValueDisclosure
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
   
Revolving Credit Facility [Member]        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Long-term Debt 133.0us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
277.0us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
   
Line of Credit Facility, Fair Value of Amount Outstanding 133.0us-gaap_LineOfCreditFacilityFairValueOfAmountOutstanding
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
277.0us-gaap_LineOfCreditFacilityFairValueOfAmountOutstanding
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
   
Uncommitted Facilities [Member]        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Long-term Debt 133.0us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= trmb_UncommittedFacilitiesMember
57.0us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= trmb_UncommittedFacilitiesMember
   
Short-term Debt 133.0us-gaap_ShortTermBorrowings
/ us-gaap_LongtermDebtTypeAxis
= trmb_UncommittedFacilitiesMember
57.0us-gaap_ShortTermBorrowings
/ us-gaap_LongtermDebtTypeAxis
= trmb_UncommittedFacilitiesMember
   
Short-term Debt, Fair Value 133.0us-gaap_ShorttermDebtFairValue
/ us-gaap_LongtermDebtTypeAxis
= trmb_UncommittedFacilitiesMember
57.0us-gaap_ShorttermDebtFairValue
/ us-gaap_LongtermDebtTypeAxis
= trmb_UncommittedFacilitiesMember
   
Promissory Notes And Other Debt [Member]        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Note Payable Fair Value 0.4us-gaap_NotesPayableFairValueDisclosure
/ us-gaap_LongtermDebtTypeAxis
= trmb_PromissoryNotesAndOtherMember
7.6us-gaap_NotesPayableFairValueDisclosure
/ us-gaap_LongtermDebtTypeAxis
= trmb_PromissoryNotesAndOtherMember
   
Long-term Debt 0.4us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= trmb_PromissoryNotesAndOtherMember
7.6us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= trmb_PromissoryNotesAndOtherMember
   
Fair Value, Inputs, Level 1 [Member]        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Business Combination, Contingent Consideration, Liability   0us-gaap_BusinessCombinationContingentConsiderationLiability
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
   
Cash and cash equivalents 145.7us-gaap_CashAndCashEquivalentsFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
148.0us-gaap_CashAndCashEquivalentsFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
   
Other Noncurrent Assets [Member]        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Business Combination, Contingent Consideration, Asset, Noncurrent 4.2us-gaap_BusinessCombinationContingentConsiderationAssetNoncurrent
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherNoncurrentAssetsMember
     
Other Current and Non Current Liabilities [Member]        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Business Combination, Contingent Consideration, Liability $ 10.5us-gaap_BusinessCombinationContingentConsiderationLiability
/ us-gaap_BalanceSheetLocationAxis
= trmb_OtherCurrentAndNonCurrentLiabilitiesMember
     
[1] Contingent consideration liabilities represent arrangements to pay the former owners of certain companies that Trimble acquired. The undiscounted maximum payment under the arrangements is $10.5 million at the end of the first quarter of fiscal 2015, based on estimated future revenues or other milestones based on quantities sold. Contingent consideration liabilities are included in Other current liabilities and Other non-current liabilities on the Company's Condensed Consolidated Balance Sheets.