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Reporting Segment And Geographic Information (Schedule Of Revenue, Operating Income And Identifiable Assets By Segment) (Details)
$ in Millions
3 Months Ended 12 Months Ended
Jan. 01, 2016
USD ($)
Oct. 02, 2015
USD ($)
Jul. 03, 2015
USD ($)
Apr. 03, 2015
USD ($)
Jan. 02, 2015
USD ($)
Oct. 03, 2014
USD ($)
Jul. 04, 2014
USD ($)
Apr. 04, 2014
USD ($)
Jan. 01, 2016
USD ($)
Jan. 02, 2015
USD ($)
Jan. 03, 2014
USD ($)
Segment Reporting Information [Line Items]                      
Number of Reportable Segments                 4    
Revenue $ 559.7 $ 562.3 $ 585.8 $ 582.6 $ 563.8 $ 584.8 $ 642.2 $ 604.7 $ 2,290.4 [1] $ 2,395.5 [1] $ 2,288.1 [1]
Operating Income (Loss)                 154.4 260.8 251.7
Depreciation                 36.7 33.1 26.7
Accounts receivable 361.9       362.0       361.9 362.0 337.9
Inventories 261.1       278.1       261.1 278.1 254.3
Goodwill 2,106.4       2,085.8       2,106.4 2,085.8 1,985.3
Engineering And Construction [Member]                      
Segment Reporting Information [Line Items]                      
Revenue                 1,283.3 1,348.1 1,222.0
Accounts receivable 215.9       227.7       215.9 227.7 185.6
Inventories 178.0       185.2       178.0 185.2 171.9
Goodwill 1,140.1       1,170.6       1,140.1 1,170.6 1,076.0
Field Solutions [Member]                      
Segment Reporting Information [Line Items]                      
Revenue                 355.3 422.1 473.9
Accounts receivable 57.1       51.6       57.1 51.6 62.8
Inventories 36.0       51.0       36.0 51.0 39.5
Goodwill 125.7       96.0       125.7 96.0 88.7
Mobile Solutions [Member]                      
Segment Reporting Information [Line Items]                      
Revenue                 520.3 486.8 465.1
Accounts receivable 69.6       62.9       69.6 62.9 70.2
Inventories 30.4       26.1       30.4 26.1 27.7
Goodwill 820.7       796.0       820.7 796.0 796.1
Advanced Devices [Member]                      
Segment Reporting Information [Line Items]                      
Revenue                 131.5 138.5 127.1
Accounts receivable 19.3       19.8       19.3 19.8 19.3
Inventories 16.7       15.8       16.7 15.8 15.2
Goodwill $ 19.9       $ 23.2       19.9 23.2 24.5
Operating Segments [Member]                      
Segment Reporting Information [Line Items]                      
Operating Income (Loss)                 459.9 544.2 537.6
Operating Segments [Member] | Engineering And Construction [Member]                      
Segment Reporting Information [Line Items]                      
Operating Income (Loss)                 218.8 284.1 263.6
Operating Segments [Member] | Field Solutions [Member]                      
Segment Reporting Information [Line Items]                      
Operating Income (Loss)                 108.6 137.8 176.2
Operating Segments [Member] | Mobile Solutions [Member]                      
Segment Reporting Information [Line Items]                      
Operating Income (Loss)                 85.6 78.0 68.0
Operating Segments [Member] | Advanced Devices [Member]                      
Segment Reporting Information [Line Items]                      
Operating Income (Loss)                 46.9 44.3 29.8
Segment Reconciling Items [Member]                      
Segment Reporting Information [Line Items]                      
Depreciation                 21.3 20.2 18.0
Segment Reconciling Items [Member] | Engineering And Construction [Member]                      
Segment Reporting Information [Line Items]                      
Depreciation                 14.1 13.4 12.0
Segment Reconciling Items [Member] | Field Solutions [Member]                      
Segment Reporting Information [Line Items]                      
Depreciation                 1.2 0.9 0.6
Segment Reconciling Items [Member] | Mobile Solutions [Member]                      
Segment Reporting Information [Line Items]                      
Depreciation                 5.4 5.3 4.6
Segment Reconciling Items [Member] | Advanced Devices [Member]                      
Segment Reporting Information [Line Items]                      
Depreciation                 $ 0.6 $ 0.6 $ 0.8
[1] Revenue is attributed to countries based on the location of the customer.