Reporting Segment And Geographic Information (Schedule Of Revenue, Operating Income And Identifiable Assets By Segment) (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 30, 2016	Sep. 30, 2016	Jul. 01, 2016	Apr. 01, 2016	Jan. 01, 2016	Oct. 02, 2015	Jul. 03, 2015	Apr. 03, 2015	Dec. 30, 2016		Jan. 01, 2016		Jan. 02, 2015
Segment Reporting Information [Line Items]
Revenues	$ 585.5	$ 584.1	$ 609.6	$ 583.0	$ 559.7	$ 562.3	$ 585.8	$ 582.6	$ 2,362.2	[1]	$ 2,290.4	[1]	$ 2,395.5	[1]
Operating Income (Loss)									181.0		154.4		260.8
Depreciation									37.0		36.7		33.1
Accounts receivable	354.8				361.9				354.8		361.9		362.0
Inventories	218.8				261.1				218.8		261.1		278.1
Goodwill	2,077.6				2,106.4				2,077.6		2,106.4		2,085.8
Engineering And Construction [Member]
Segment Reporting Information [Line Items]
Revenues									1,313.6		1,283.3		1,348.1
Accounts receivable	202.9				215.9				202.9		215.9		227.7
Inventories	140.8				178.0				140.8		178.0		185.2
Goodwill	1,122.4				1,140.1				1,122.4		1,140.1		1,170.6
Field Solutions [Member]
Segment Reporting Information [Line Items]
Revenues									354.3		355.3		422.1
Accounts receivable	59.7				57.1				59.7		57.1		51.6
Inventories	32.7				36.0				32.7		36.0		51.0
Goodwill	124.8				125.7				124.8		125.7		96.0
Mobile Solutions [Member]
Segment Reporting Information [Line Items]
Revenues									559.7		520.3		486.8
Accounts receivable	69.2				69.6				69.2		69.6		62.9
Inventories	31.6				30.4				31.6		30.4		26.1
Goodwill	812.5				822.9				812.5		822.9		796.0
Advanced Devices [Member]
Segment Reporting Information [Line Items]
Revenues									134.6		131.5		138.5
Accounts receivable	23.0				19.3				23.0		19.3		19.8
Inventories	13.7				16.7				13.7		16.7		15.8
Goodwill	$ 17.9				$ 17.7				17.9		17.7		23.2
Operating Segments [Member]
Segment Reporting Information [Line Items]
Operating Income (Loss)									476.0		459.9		544.2
Operating Segments [Member] | Engineering And Construction [Member]
Segment Reporting Information [Line Items]
Operating Income (Loss)									230.5		218.8		284.1
Operating Segments [Member] | Field Solutions [Member]
Segment Reporting Information [Line Items]
Operating Income (Loss)									105.2		108.6		137.8
Operating Segments [Member] | Mobile Solutions [Member]
Segment Reporting Information [Line Items]
Operating Income (Loss)									88.9		85.6		78.0
Operating Segments [Member] | Advanced Devices [Member]
Segment Reporting Information [Line Items]
Operating Income (Loss)									51.4		46.9		44.3
Segment Reconciling Items [Member]
Segment Reporting Information [Line Items]
Depreciation									21.0		21.3		20.2
Segment Reconciling Items [Member] | Engineering And Construction [Member]
Segment Reporting Information [Line Items]
Depreciation									13.6		14.1		13.4
Segment Reconciling Items [Member] | Field Solutions [Member]
Segment Reporting Information [Line Items]
Depreciation									1.3		1.2		0.9
Segment Reconciling Items [Member] | Mobile Solutions [Member]
Segment Reporting Information [Line Items]
Depreciation									5.5		5.4		5.3
Segment Reconciling Items [Member] | Advanced Devices [Member]
Segment Reporting Information [Line Items]
Depreciation									$ 0.6		$ 0.6		$ 0.6

[1] Revenue is attributed to countries based on the location of the customer.