Reporting Segment And Geographic Information (Schedule Of Revenue, Operating Income And Identifiable Assets By Segment) (Details) (USD $)	3 Months Ended								12 Months Ended
	Jan. 02, 2015	Oct. 03, 2014	Jul. 04, 2014	Apr. 04, 2014	Jan. 03, 2014	Sep. 27, 2013	Jun. 28, 2013	Mar. 29, 2013	Jan. 02, 2015		Jan. 03, 2014		Dec. 28, 2012
Segment Reporting Information [Line Items]
Revenue	$ 563,830,000	$ 584,796,000	$ 642,199,000	$ 604,721,000	$ 599,218,000	$ 556,502,000	$ 576,293,000	$ 556,111,000	$ 2,395,546,000	[1]	$ 2,288,124,000	[1]	$ 2,040,113,000	[1]
Operating Income (Loss)									260,823,000		251,737,000		212,568,000
Depreciation									33,129,000		26,736,000		23,691,000
Accounts receivable	362,049,000				337,932,000				362,049,000		337,932,000		323,477,000
Inventories	278,099,000				254,311,000				278,099,000		254,311,000		240,529,000
Goodwill	2,101,169,000				1,989,470,000				2,101,169,000		1,989,470,000		1,815,699,000
Number of Reportable Segments									4
Maximum percentage of operation accounts for company's total revenue, operating income, and assets									10.00%
Engineering And Construction [Member]
Segment Reporting Information [Line Items]
Revenue									1,348,129,000		1,222,040,000		1,089,424,000
Accounts receivable	227,677,000				185,634,000				227,677,000		185,634,000		171,580,000
Inventories	185,179,000				171,863,000				185,179,000		171,863,000		148,241,000
Goodwill	1,185,976,000				1,080,240,000				1,185,976,000		1,080,240,000		958,103,000
Field Solutions [Member]
Segment Reporting Information [Line Items]
Revenue									422,090,000		473,891,000		481,962,000
Accounts receivable	51,659,000				62,859,000				51,659,000		62,859,000		71,465,000
Inventories	50,965,000				39,554,000				50,965,000		39,554,000		44,738,000
Goodwill	95,941,000				88,651,000				95,941,000		88,651,000		68,684,000
Mobile Solutions [Member]
Segment Reporting Information [Line Items]
Revenue									486,819,000		465,138,000		348,147,000
Accounts receivable	62,897,000				70,174,000				62,897,000		70,174,000		59,720,000
Inventories	26,097,000				27,664,000				26,097,000		27,664,000		30,598,000
Goodwill	796,012,000				796,094,000				796,012,000		796,094,000		763,386,000
Advanced Devices [Member]
Segment Reporting Information [Line Items]
Revenue									138,508,000		127,055,000		120,580,000
Accounts receivable	19,816,000				19,265,000				19,816,000		19,265,000		20,712,000
Inventories	15,858,000				15,230,000				15,858,000		15,230,000		16,952,000
Goodwill	23,240,000				24,485,000				23,240,000		24,485,000		25,526,000
Operating Segments [Member]
Segment Reporting Information [Line Items]
Operating Income (Loss)									518,256,000		514,910,000		440,933,000
Operating Segments [Member] | Engineering And Construction [Member]
Segment Reporting Information [Line Items]
Operating Income (Loss)									268,856,000		251,258,000		207,174,000
Operating Segments [Member] | Field Solutions [Member]
Segment Reporting Information [Line Items]
Operating Income (Loss)									134,198,000		173,114,000		182,134,000
Operating Segments [Member] | Mobile Solutions [Member]
Segment Reporting Information [Line Items]
Operating Income (Loss)									72,876,000		63,961,000		32,459,000
Operating Segments [Member] | Advanced Devices [Member]
Segment Reporting Information [Line Items]
Operating Income (Loss)									42,326,000		26,577,000		19,166,000
Segment Reconciling Items [Member]
Segment Reporting Information [Line Items]
Depreciation									20,223,000		18,021,000		15,677,000
Segment Reconciling Items [Member] | Engineering And Construction [Member]
Segment Reporting Information [Line Items]
Depreciation									13,434,000		12,022,000		10,563,000
Segment Reconciling Items [Member] | Field Solutions [Member]
Segment Reporting Information [Line Items]
Depreciation									835,000		633,000		555,000
Segment Reconciling Items [Member] | Mobile Solutions [Member]
Segment Reporting Information [Line Items]
Depreciation									5,319,000		4,579,000		3,679,000
Segment Reconciling Items [Member] | Advanced Devices [Member]
Segment Reporting Information [Line Items]
Depreciation									$ 635,000		$ 787,000		$ 880,000

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