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Lawsuits, Claims, Commitments, Contingencies and Related Matters (Details) (USD $)
In Millions, unless otherwise specified
 3 Months Ended
Mar. 29, 2015
Dec. 28, 2014
Valuation and Qualifying Accounts Disclosure [Line Items]    
Reserves for environmental remediation obligations 9.5tdy_ReservesForEnvironmentalRemediationObligations  
Portion of reserves included in current accrued liabilities 244.3us-gaap_AccruedLiabilitiesCurrent 290.3us-gaap_AccruedLiabilitiesCurrent
Maximum    
Valuation and Qualifying Accounts Disclosure [Line Items]    
Up to estimated duration of remediation 30 years  
Environmental Reserves    
Valuation and Qualifying Accounts Disclosure [Line Items]    
Portion of reserves included in current accrued liabilities 5.1us-gaap_AccruedLiabilitiesCurrent
/ us-gaap_ValuationAllowancesAndReservesTypeAxis
= us-gaap_ReserveForEnvironmentalCostsMember