Stockholder's Equity (Common Stock Share Activity) (Details)	12 Months Ended
Dec. 28, 2014	Dec. 29, 2013	Dec. 30, 2012	Dec. 28, 2014
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance, common stock (shares)	37,571,182us-gaap_CommonStockSharesIssued	37,162,697us-gaap_CommonStockSharesIssued	37,027,015us-gaap_CommonStockSharesIssued	37,697,865us-gaap_CommonStockSharesIssued
Beginning Balance, treasury stock (shares)	0us-gaap_TreasuryStockShares		577,923us-gaap_TreasuryStockShares
Treasury shares repurchased (shares)	1,396,290us-gaap_TreasuryStockSharesAcquired	0us-gaap_TreasuryStockSharesAcquired	0us-gaap_TreasuryStockSharesAcquired
Common stock issued (shares)	126,683tdy_CommonStockOptionsExercisedAndOther	408,485tdy_CommonStockOptionsExercisedAndOther	135,682tdy_CommonStockOptionsExercisedAndOther
Treasury stock reissued (shares)	(354,009)		(577,923)
Ending balance, common stock (shares)	36,655,584us-gaap_CommonStockSharesOutstanding	37,571,182us-gaap_CommonStockSharesOutstanding
Ending Balance, treasury stock (shares)	1,042,281us-gaap_TreasuryStockShares	0us-gaap_TreasuryStockShares

Common Stock Options Exercised and Other

No definition available.

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- Definition

Total number of common shares of an entity that have been sold or granted to shareholders (includes common shares that were issued, repurchased and remain in the treasury). These shares represent capital invested by the firm's shareholders and owners, and may be all or only a portion of the number of shares authorized. Shares issued include shares outstanding and shares held in the treasury.

+ References

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 210.5-02.29)

-URI http://asc.fasb.org/extlink&oid=6877327&loc=d3e13212-122682

Reference 2: http://www.xbrl.org/2003/role/presentationRef

-Publisher SEC

-Name Regulation S-X (SX)

-Number 210

-Section 02

-Paragraph 30

-Article 5

+ Details

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- Definition

Number of shares of common stock outstanding. Common stock represent the ownership interest in a corporation.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher SEC

-Name Regulation S-X (SX)

-Number 210

-Section 04

-Article 3

Reference 2: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 505

-SubTopic 10

-Section 50

-Paragraph 2

-URI http://asc.fasb.org/extlink&oid=6928386&loc=d3e21463-112644

Reference 3: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 505

-SubTopic 10

-Section S99

-Paragraph 1

-Subparagraph (SX 210.3-04)

-URI http://asc.fasb.org/extlink&oid=27012166&loc=d3e187085-122770

Reference 4: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 210

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-Section S99

-Paragraph 1

-Subparagraph (SX 210.5-02.29)

-URI http://asc.fasb.org/extlink&oid=6877327&loc=d3e13212-122682

Reference 5: http://www.xbrl.org/2003/role/presentationRef

-Publisher SEC

-Name Regulation S-X (SX)

-Number 210

-Section 02

-Paragraph 30

-Article 5

+ Details

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- Details

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- Definition

Number of treasury shares (units) reissued during the period, excluding reissuance of shares (units) held in treasury used to satisfy equity-based compensation obligations exercised by the holders of such rights. Upon reissuance of shares (units) from treasury, either the common or preferred stock (unit) reissued is outstanding.

+ References

+ Details

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- Definition

Number of common and preferred shares that were previously issued and that were repurchased by the issuing entity and held in treasury on the financial statement date. This stock has no voting rights and receives no dividends.

+ References

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 210.5-02.28,29)

-URI http://asc.fasb.org/extlink&oid=6877327&loc=d3e13212-122682

Reference 2: http://www.xbrl.org/2003/role/presentationRef

-Publisher SEC

-Name Regulation S-X (SX)

-Number 210

-Section 02

-Paragraph 29, 30

-Article 5

+ Details

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- Definition

Number of shares that have been repurchased during the period and are being held in treasury.

+ References

+ Details

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