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Business Segments (Narrative) (Details)
3 Months Ended 12 Months Ended
Jan. 01, 2017
USD ($)
product_line
Oct. 02, 2016
USD ($)
Jul. 03, 2016
USD ($)
Apr. 03, 2016
USD ($)
Jan. 03, 2016
USD ($)
Sep. 27, 2015
USD ($)
Jun. 28, 2015
USD ($)
Mar. 29, 2015
USD ($)
Jan. 01, 2017
USD ($)
segment
product_line
Jan. 03, 2016
USD ($)
Dec. 28, 2014
USD ($)
Segment Reporting Information [Line Items]                      
Number of reportable segments | segment                 4    
Amount remaining to be paid for severance and facility consolidations $ 3,700,000               $ 3,700,000    
Sales $ 552,900,000 $ 526,800,000 $ 539,700,000 $ 530,500,000 $ 600,000,000 $ 555,400,000 $ 577,700,000 $ 565,000,000 $ 2,149,900,000 $ 2,298,100,000 $ 2,394,000,000
Sales to individual countries outside the United States                 0.00%    
Sales between business segments                 $ 20,200,000 19,400,000 20,100,000
United States Department of Defense                      
Segment Reporting Information [Line Items]                      
Sales                 449,400,000 447,200,000 472,800,000
Countries Other Than United States                      
Segment Reporting Information [Line Items]                      
Sales                 919,400,000 1,020,400,000 1,069,300,000
Countries Other Than United States | Domestic Operations                      
Segment Reporting Information [Line Items]                      
Sales                 $ 539,400,000 628,200,000 624,000,000
Instrumentation                      
Segment Reporting Information [Line Items]                      
Number of product lines | product_line 3               3    
Sales                 $ 876,700,000 1,051,100,000 1,115,500,000
Aerospace and Defense Electronics                      
Segment Reporting Information [Line Items]                      
Number of product lines | product_line 1               1    
Digital Imaging                      
Segment Reporting Information [Line Items]                      
Number of product lines | product_line 1               1    
Engineered Systems                      
Segment Reporting Information [Line Items]                      
Number of product lines | product_line 1,000,000               1,000,000    
PCT | Disposal Group, Disposed of by Sale, Not Discontinued Operations                      
Segment Reporting Information [Line Items]                      
Consideration received   9,300,000                  
Gain on sale   $ 0                  
Sales                 $ 10,100,000 16,600,000 18,800,000
Pretax loss                 $ (3,100,000) $ (3,900,000) $ (1,100,000)