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Business Segments (Sales and Long-lived Assets) (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 12 Months Ended
Dec. 28, 2014
Sep. 28, 2014
Jun. 29, 2014
Mar. 30, 2014
Dec. 29, 2013
Sep. 29, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 28, 2014
Dec. 29, 2013
Dec. 30, 2012
Sales                      
Sales $ 622.3us-gaap_SalesRevenueNet [1] $ 601.1us-gaap_SalesRevenueNet [1] $ 597.1us-gaap_SalesRevenueNet [1] $ 573.5us-gaap_SalesRevenueNet [1] $ 596.6us-gaap_SalesRevenueNet [2] $ 571.6us-gaap_SalesRevenueNet [2] $ 601.0us-gaap_SalesRevenueNet [2] $ 569.4us-gaap_SalesRevenueNet [2] $ 2,394.0us-gaap_SalesRevenueNet $ 2,338.6us-gaap_SalesRevenueNet $ 2,127.3us-gaap_SalesRevenueNet
Long-lived assets                      
Long-lived assets 1,924.0us-gaap_NoncurrentAssets       1,952.0us-gaap_NoncurrentAssets       1,924.0us-gaap_NoncurrentAssets 1,952.0us-gaap_NoncurrentAssets 1,661.6us-gaap_NoncurrentAssets
United States                      
Sales                      
Sales                 1,852.0us-gaap_SalesRevenueNet
/ us-gaap_StatementGeographicalAxis
= country_US
1,776.8us-gaap_SalesRevenueNet
/ us-gaap_StatementGeographicalAxis
= country_US
1,699.5us-gaap_SalesRevenueNet
/ us-gaap_StatementGeographicalAxis
= country_US
Long-lived assets                      
Long-lived assets 1,364.7us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_US
      1,320.2us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_US
      1,364.7us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_US
1,320.2us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_US
1,068.0us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_US
Canada                      
Sales                      
Sales                 230.1us-gaap_SalesRevenueNet
/ us-gaap_StatementGeographicalAxis
= country_CA
221.7us-gaap_SalesRevenueNet
/ us-gaap_StatementGeographicalAxis
= country_CA
224.4us-gaap_SalesRevenueNet
/ us-gaap_StatementGeographicalAxis
= country_CA
Long-lived assets                      
Long-lived assets 310.5us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_CA
      354.1us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_CA
      310.5us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_CA
354.1us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_CA
393.4us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_CA
United Kingdom                      
Sales                      
Sales                 139.8us-gaap_SalesRevenueNet
/ us-gaap_StatementGeographicalAxis
= country_GB
174.2us-gaap_SalesRevenueNet
/ us-gaap_StatementGeographicalAxis
= country_GB
118.2us-gaap_SalesRevenueNet
/ us-gaap_StatementGeographicalAxis
= country_GB
Long-lived assets                      
Long-lived assets 120.6us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_GB
      131.5us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_GB
      120.6us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_GB
131.5us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_GB
122.8us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_GB
All other countries                      
Sales                      
Sales                 172.1us-gaap_SalesRevenueNet
/ us-gaap_StatementGeographicalAxis
= tdy_OtherCountiresMember
165.9us-gaap_SalesRevenueNet
/ us-gaap_StatementGeographicalAxis
= tdy_OtherCountiresMember
85.2us-gaap_SalesRevenueNet
/ us-gaap_StatementGeographicalAxis
= tdy_OtherCountiresMember
Long-lived assets                      
Long-lived assets $ 128.2us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= tdy_OtherCountiresMember
      $ 146.2us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= tdy_OtherCountiresMember
      $ 128.2us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= tdy_OtherCountiresMember
$ 146.2us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= tdy_OtherCountiresMember
$ 77.4us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= tdy_OtherCountiresMember
[1] Fiscal year 2014 was a P364D-week year, each quarter contained P91D weeks.
[2] Fiscal year 2013 was a P364D-week year, each quarter contained P91D weeks.