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Debt, Commitments And Contingencies (Schedule Of Debt) (Detail) (USD $)
In Millions, unless otherwise specified
Apr. 03, 2015
Jan. 02, 2015
Debt Instrument [Line Items]    
Total debt $ 663.4us-gaap_LongTermDebt $ 738.4us-gaap_LongTermDebt
Less current portion of long-term debt 133.1us-gaap_LongTermDebtCurrent 64.4us-gaap_LongTermDebtCurrent
Non-current portion 530.3us-gaap_LongTermDebtNoncurrent 674.0us-gaap_LongTermDebtNoncurrent
Uncommitted Facilities [Member]    
Debt Instrument [Line Items]    
Total debt 133.0us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= trmb_UncommittedFacilitiesMember
57.0us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= trmb_UncommittedFacilitiesMember
Senior Notes [Member]    
Debt Instrument [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
Debt Instrument, Unamortized Discount (3.0)us-gaap_DebtInstrumentUnamortizedDiscount
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
(3.2)us-gaap_DebtInstrumentUnamortizedDiscount
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
Revolving Credit Facility [Member]    
Debt Instrument [Line Items]    
Total debt 133.0us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
277.0us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
Promissory Notes And Other Debt [Member]    
Debt Instrument [Line Items]    
Total debt 0.4us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= trmb_PromissoryNotesAndOtherMember
7.6us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= trmb_PromissoryNotesAndOtherMember
Non-current portion 0.4us-gaap_LongTermDebtNoncurrent
/ us-gaap_LongtermDebtTypeAxis
= trmb_PromissoryNotesAndOtherMember
0.4us-gaap_LongTermDebtNoncurrent
/ us-gaap_LongtermDebtTypeAxis
= trmb_PromissoryNotesAndOtherMember
2014 Credit Facility [Member] | Revolving Credit Facility [Member]    
Debt Instrument [Line Items]    
Total debt $ 133.0us-gaap_LongTermDebt
/ us-gaap_DebtInstrumentAxis
= trmb_TwoThousandFourteenCreditFacilityMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
$ 277.0us-gaap_LongTermDebt
/ us-gaap_DebtInstrumentAxis
= trmb_TwoThousandFourteenCreditFacilityMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember