Business Combinations (Fair Values of the Business Combinations and Allocations for the Acquisitions Completed) (Details) - USD ($)	6 Months Ended	12 Months Ended
	Jul. 02, 2017	Jan. 01, 2017
Business Acquisition [Line Items]
Goodwill	$ 2,356,690,000	$ 2,247,966,000
Fiscal Year 2017 Acquisitions [Member]
Business Acquisition [Line Items]
Business Acquisition, Cost of Acquired Entity, Cash Paid	126,007,000.000
Cash Acquired	(2,429,000)
Business Combination, Consideration Transferred	124,851,000.000
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets	15,825,000
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	9,643,000
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	1,084,000
Goodwill	72,454,000
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Total	(15,414,000)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Liabilities	(8,241,000)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net	124,851,000
Fiscal Year 2016 Acquisitions [Member]
Business Acquisition [Line Items]
Business Acquisition, Cost of Acquired Entity, Cash Paid		72,497,000.000
Business Acquisition, Cost Of Acquired Entity, Working Capital Adjustments		(261,000)
Cash Acquired		(2,152,000)
Business Combination, Consideration Transferred		70,084,000
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets		7,153,000
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment		7,542,000
Goodwill		43,588,000
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Total		(8,284,000)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Liabilities		(1,985,000)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net		70,084,000
Core Technology [Member] | Fiscal Year 2017 Acquisitions [Member]
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles	3,500,000
Core Technology [Member] | Fiscal Year 2016 Acquisitions [Member]
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles		6,600,000
Trade Names [Member] | Fiscal Year 2017 Acquisitions [Member]
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles	3,000,000
Trade Names [Member] | Fiscal Year 2016 Acquisitions [Member]
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles		570,000
Customer Relationships [Member] | Fiscal Year 2017 Acquisitions [Member]
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles	43,000,000
Customer Relationships [Member] | Fiscal Year 2016 Acquisitions [Member]
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles		14,900,000
Diagnostics [Member]
Business Acquisition [Line Items]
Goodwill	1,032,783,000	944,030,000
Discovery & Analytical Solutions [Member]
Business Acquisition [Line Items]
Goodwill	$ 1,323,907,000	$ 1,303,936,000