Business Combinations (Narrative) (Details) - USD ($)	3 Months Ended		12 Months Ended
	Apr. 02, 2017	Apr. 03, 2016	Jan. 01, 2017	Jan. 03, 2016
Business Acquisition [Line Items]
Number of Years in Measurement Period from Acquisition Date to Change Underlying Assumptions	1 year
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, High	$ 83,000,000
Fair Value, Measurement with Unobservable Inputs Reconciliations, Recurring Basis, Liability Value	$ 63,978,000	$ 58,579,000	$ 63,201,000	$ 57,350,000
Business Combination, Contingent Consideration Arrangements, Maximum Period	2 years 6 months
Business Combination, Contingent Consideration Arrangements, Weighted Average Period	1 year 7 months
Total transaction costs	$ 2,600,000	$ 400,000
Business Combination, Contingent Consideration Arrangements, Description	Contingent consideration is measured at fair value at the acquisition date, based on the probability that revenue thresholds or product development milestones will be achieved during the earnout period, with changes in the fair value after the acquisition date affecting earnings to the extent it is to be settled in cash.
Goodwill	$ 2,332,533,000		2,247,966,000
Business Combination, Contingent Consideration, Liability, Current	15,400,000		15,400,000
Business Combination, Contingent Consideration, Liability, Noncurrent	48,600,000		47,800,000
Fiscal Year 2017 Acquisitions [Member]
Business Acquisition [Line Items]
Business Combination, Consideration Transferred	124,851,000.000
Cash Acquired	(2,429,000)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets	15,863,000
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
Cash paid to the shareholders	126,007,000.000
Business Combination, Consideration Transferred, Liabilities Incurred	1,273,000
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Total	(14,997,000)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Liabilities	(8,241,000)
Goodwill	76,499,000
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net	124,851,000
Bioo Scientific Corporation [Member]
Business Acquisition [Line Items]
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments			63,453,000
2016 Acquisitions (excluding Bioo) [Member]
Business Acquisition [Line Items]
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments			8,847,000
Vanadis Diagnostics AB [Member]
Business Acquisition [Line Items]
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, High				93,000,000
Business Acquisition, Cost of Acquired Entity, Liabilities Incurred, Contingent Consideration at Fair Value	63,978,000			$ 56,878,000
Tulip Diagnostics Private Limited [Member]
Business Acquisition [Line Items]
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments	$ 127,280,000
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	11 years 5 months
Fiscal Year 2016 Acquisitions [Member]
Business Acquisition [Line Items]
Business Acquisition, Cost Of Acquired Entity, Working Capital Adjustments			(261,000)
Business Combination, Consideration Transferred			70,084,000
Cash Acquired			(2,152,000)
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
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments			72,300,000
Cash paid to the shareholders			$ 72,497,000.000
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life			9 years 5 months
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)
Goodwill			43,588,000
Intangible Assets, Gross (Excluding Goodwill)			22,100,000
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net			70,084,000
Diagnostics [Member]
Business Acquisition [Line Items]
Goodwill	$ 1,024,441,000		944,030,000
Discovery & Analytical Solutions [Member]
Business Acquisition [Line Items]
Goodwill	1,308,092,000		1,303,936,000
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
Customer Relationships [Member] | Fiscal Year 2017 Acquisitions [Member]
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles	38,500,000
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
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
India, Rupees | Tulip Diagnostics Private Limited [Member]
Business Acquisition [Line Items]
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, High	1,600,000,000
United States of America, Dollars | Tulip Diagnostics Private Limited [Member]
Business Acquisition [Line Items]
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, High	$ 25,000,000