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Supplemental Balance Sheet Information (Balance Sheet Components) (Details) (USD $)
In Millions, unless otherwise specified
Mar. 29, 2015
Dec. 28, 2014
Derivatives, Fair Value [Line Items]    
Deferred tax assets $ 42.0us-gaap_DeferredTaxAssetsNetCurrent $ 42.8us-gaap_DeferredTaxAssetsNetCurrent
Prepaid expenses and other current assets    
Derivatives, Fair Value [Line Items]    
Deferred tax assets 42.0us-gaap_DeferredTaxAssetsNetCurrent
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember
42.8us-gaap_DeferredTaxAssetsNetCurrent
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember
Income tax receivable 1.6us-gaap_IncomeTaxesReceivable
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember
13.6us-gaap_IncomeTaxesReceivable
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember
Other assets, net    
Derivatives, Fair Value [Line Items]    
Deferred compensation assets 50.7us-gaap_DeferredCompensationPlanAssets
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherNoncurrentAssetsMember
49.6us-gaap_DeferredCompensationPlanAssets
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherNoncurrentAssetsMember
Accrued liabilities    
Derivatives, Fair Value [Line Items]    
Salaries and wages 79.7us-gaap_EmployeeRelatedLiabilitiesCurrent
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_AccruedLiabilitiesMember
108.7us-gaap_EmployeeRelatedLiabilitiesCurrent
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_AccruedLiabilitiesMember
Customer deposits and credits 47.0us-gaap_DeferredRevenueAndCreditsCurrent
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_AccruedLiabilitiesMember
47.9us-gaap_DeferredRevenueAndCreditsCurrent
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_AccruedLiabilitiesMember
Other long-term liabilities    
Derivatives, Fair Value [Line Items]    
Accrued pension obligation 13.5tdy_AccruedPensionObligationNoncurrent
/ us-gaap_BalanceSheetLocationAxis
= tdy_OtherLongTermLiabilitiesMember
14.2tdy_AccruedPensionObligationNoncurrent
/ us-gaap_BalanceSheetLocationAxis
= tdy_OtherLongTermLiabilitiesMember
Accrued postretirement benefits 11.3tdy_AccruedPostretirementObligationNoncurrent
/ us-gaap_BalanceSheetLocationAxis
= tdy_OtherLongTermLiabilitiesMember
11.6tdy_AccruedPostretirementObligationNoncurrent
/ us-gaap_BalanceSheetLocationAxis
= tdy_OtherLongTermLiabilitiesMember
Deferred compensation liabilities 47.1us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent
/ us-gaap_BalanceSheetLocationAxis
= tdy_OtherLongTermLiabilitiesMember
45.8us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent
/ us-gaap_BalanceSheetLocationAxis
= tdy_OtherLongTermLiabilitiesMember
Deferred tax liabilities $ 78.7us-gaap_DeferredTaxLiabilitiesNoncurrent
/ us-gaap_BalanceSheetLocationAxis
= tdy_OtherLongTermLiabilitiesMember
$ 77.3us-gaap_DeferredTaxLiabilitiesNoncurrent
/ us-gaap_BalanceSheetLocationAxis
= tdy_OtherLongTermLiabilitiesMember