Amount, before unamortized (discount) premium and debt issuance costs, of long-term debt. Includes, but is not limited to, notes payable, bonds payable, commercial loans, mortgage loans, convertible debt, subordinated debt and other types of debt.

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(22))
-URI http://asc.fasb.org/extlink&oid=6877327&loc=d3e13212-122682

Reference 2: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 944
-SubTopic 210
-Section S99
-Paragraph 1
-Subparagraph (SX 210.7-03(16))
-URI http://asc.fasb.org/extlink&oid=6879938&loc=d3e572229-122910

Reference 3: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 942
-SubTopic 210
-Section S99
-Paragraph 1
-Subparagraph (SX 210.9-03(16))
-URI http://asc.fasb.org/extlink&oid=6876686&loc=d3e534808-122878

+ Details

Name:	us-gaap_DebtInstrumentCarryingAmount
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Contractual interest rate for funds borrowed, under the debt agreement.

+ References

+ Details

Name:	us-gaap_DebtInstrumentInterestRateStatedPercentage
Namespace Prefix:	us-gaap_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

Name:	us-gaap_DebtInstrumentLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Maximum borrowing capacity under the credit facility without consideration of any current restrictions on the amount that could be borrowed or the amounts currently outstanding under the facility.

+ References

+ Details

Name:	us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Amount, after unamortized (discount) premium and debt issuance costs, of long-term debt. Includes, but not limited to, notes payable, bonds payable, debentures, mortgage loans and commercial paper. Excludes capital lease obligations.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 944
-SubTopic 210
-Section S99
-Paragraph 1
-Subparagraph (SX 210.7-03(a)(16))
-URI http://asc.fasb.org/extlink&oid=6879938&loc=d3e572229-122910

Reference 2: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 942
-SubTopic 210
-Section S99
-Paragraph 1
-Subparagraph (SX 210.9-03(16))
-URI http://asc.fasb.org/extlink&oid=6876686&loc=d3e534808-122878

Reference 3: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(22))
-URI http://asc.fasb.org/extlink&oid=6877327&loc=d3e13212-122682

+ Details

Name:	us-gaap_LongTermDebt
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Amount, after unamortized (discount) premium and debt issuance costs, of long-term debt, classified as current. Includes, but not limited to, notes payable, bonds payable, debentures, mortgage loans and commercial paper. Excludes capital lease obligations.

+ References

+ Details

Name:	us-gaap_LongTermDebtCurrent
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Weighted average interest rate of long-term debt outstanding.

+ References

No definition available.

+ Details

Name:	us-gaap_LongtermDebtWeightedAverageInterestRate
Namespace Prefix:	us-gaap_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	instant

- Details

Name:	us-gaap_LongtermDebtTypeAxis=us-gaap_LoansPayableMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_LongtermDebtTypeAxis=tdy_OtherDebtatVariousRatesDueThroughTwoThousandThirtyOneMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=tdy_TermLoansDueMarch2019Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=tdy_SeniorNotesDueSeptemberFifteenTwoThousandSeventeenMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_LongtermDebtTypeAxis=us-gaap_SeniorNotesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=tdy_SeniorUnsecuredNotesDueDecember42019Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=tdy_SeniorNotesDueSeptemberFifteenTwoThousandTwentyMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=tdy_SeniorUnsecuredNotes2.81DueNovember52020Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=tdy_SeniorUnsecuredNotesDueDecember62021Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=tdy_A3.28percentSeniorNotesDueNovember2022Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_CreditFacilityAxis=us-gaap_RevolvingCreditFacilityMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_LongtermDebtTypeAxis=us-gaap_LineOfCreditMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Long-Term Debt (Details) - USD ($)	Jan. 01, 2017	Dec. 31, 2016	Jan. 03, 2016	Nov. 30, 2015
Debt Instrument [Line Items]
Long-term debt, gross	$ 611,700,000		$ 765,500,000
Current portion of long-term debt and debt issue costs	(102,000,000)		(11,400,000)
Total long-term debt, net of current portion	509,700,000		754,100,000
Term loans
Debt Instrument [Line Items]
Total long-term debt, net of current portion	200,000,000.0
Other debt
Debt Instrument [Line Items]
Long-term debt, gross	4,200,000		0
Term Loans due through January 2022, weighted average rate of 1.90% at January 1, 2017, and 1.55% at January 3, 2016 \| Term loans
Debt Instrument [Line Items]
Long-term debt, gross	$ 182,500,000		$ 190,000,000
Long-term debt, weighted average interest rate	1.90%		1.55%
4.74% Fixed Rate Senior Notes due September 2017 \| Senior notes
Debt Instrument [Line Items]
Long-term debt, gross	$ 100,000,000		$ 100,000,000
Interest rate	4.74%
2.61% Fixed Rate Senior Notes due December 2019 \| Senior notes
Debt Instrument [Line Items]
Long-term debt, gross	$ 30,000,000		30,000,000
Interest rate	2.61%
5.30% Fixed Rate Senior Notes due September 2020 \| Senior notes
Debt Instrument [Line Items]
Long-term debt, gross	$ 75,000,000		75,000,000
Interest rate	5.30%
2.81% Fixed Rate Senior Notes due November 2020 \| Senior notes
Debt Instrument [Line Items]
Long-term debt, gross	$ 25,000,000		25,000,000
Total long-term debt, net of current portion				$ 25,000,000.0
Interest rate	2.81%			2.81%
3.09% Fixed Rate Senior Notes due December 2021 \| Senior notes
Debt Instrument [Line Items]
Long-term debt, gross	$ 95,000,000		95,000,000
Interest rate	3.09%
3.28% Fixed Rate Senior Notes due November 2022 \| Senior notes
Debt Instrument [Line Items]
Long-term debt, gross	$ 100,000,000		100,000,000
Total long-term debt, net of current portion				$ 100,000,000.0
Interest rate	3.28%			3.28%
$750.0 million revolving credit facility, due December 2020, weighted average rate of 1.67% at January 3, 2016
Debt Instrument [Line Items]
Line of credit facility, maximum borrowing capacity		$ 750,000,000.0
$750.0 million revolving credit facility, due December 2020, weighted average rate of 1.67% at January 3, 2016 \| Line of Credit
Debt Instrument [Line Items]
Long-term debt, gross	$ 0		$ 150,500,000
Long-term debt, weighted average interest rate			1.67%
Line of credit facility, maximum borrowing capacity	$ 750,000,000		$ 750,000,000