Changes in Accounting Policies (Details) - USD ($) $ in Thousands	3 Months Ended									12 Months Ended
	Dec. 29, 2019		Sep. 29, 2019	Jun. 30, 2019	Mar. 31, 2019	Dec. 30, 2018	Sep. 30, 2018	Jul. 01, 2018	Apr. 01, 2018	Dec. 29, 2019	Dec. 30, 2018	Dec. 31, 2017	Jan. 01, 2017
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Revenue from Contract with Customer, Excluding Assessed Tax										$ (2,883,673)	$ (2,777,996)	$ (2,256,982)
Selling, general and administrative expenses										815,318	811,913	626,018
Research and development expenses										189,336	193,998	139,464
Restructuring and other costs, net	$ 1,560		$ 14,068	$ 6,161	$ 7,639	$ (1,942)	$ 6,508	$ 0	$ 6,578	29,428	11,144	12,657
Interest and other expense, net										124,831	66,201	(1,103)
Restructuring and contract termination charges, net										(29,428)	(11,144)	(12,657)
Operating income from continuing operations	138,248	[1]	78,660	91,735	53,330	115,683	80,202	88,064	39,935	361,973	323,884	295,615
Nonoperating Income (Expense)										124,831	66,201	(1,103)
Income (Loss) from Continuing Operations before Equity Method Investments, Income Taxes, Noncontrolling Interest	65,296	[1]	63,254	71,827	36,765	79,429	78,041	71,708	28,505	237,142	257,683	296,718
Provision for income taxes										9,389	20,208	139,828
Income from discontinued operations before income taxes										0	0	650
Operating income from continuing operations	64,549	[1]	58,610	69,141	35,453	71,322	75,445	64,673	26,035	227,753	237,475	156,890
(Loss) gain on disposition of discontinued operations before income taxes										0	(859)	179,615
Cash and cash equivalents	191,877					163,111				191,877	163,111	202,134
Accounts receivable, net	(725,184)					(632,669)				(725,184)	(632,669)
Inventories	356,937					338,347				356,937	338,347
Other current assets	(100,381)					(100,507)				(100,381)	(100,507)
Property, plant and equipment, net	318,223					318,590				318,223	318,590
Intangible assets, net	1,283,286					1,199,667				1,283,286	1,199,667
Goodwill	3,111,227					2,952,608				3,111,227	2,952,608	3,002,198
Other assets, net	284,173					270,023				284,173	270,023
Current portion of long-term debt	9,974					14,856				9,974	14,856
Assets	(6,538,564)					(5,975,522)				(6,538,564)	(5,975,522)
Accounts payable	235,855					220,949				235,855	220,949
Accrued restructuring and contract termination costs	11,559					4,834				11,559	4,834
Accrued expenses and other current liabilities	503,332					528,827				503,332	528,827
Current liabilities of discontinued operations	2,112					2,165				2,112	2,165
Long-term debt	2,064,041					1,876,624				2,064,041	1,876,624
Long-term liabilities	751,468					742,312				751,468	742,312
Liabilities	3,724,740					3,390,567				3,724,740	3,390,567
Preferred stock—$1 par value per share, authorized 1,000,000 shares; none issued or outstanding	0					0				0	0
Common Stock, Value, Issued	111,140					110,597				111,140	110,597
Capital in excess of par value	90,357					48,772				90,357	48,772
Retained earnings	2,811,973					2,602,067				2,811,973	2,602,067
Accumulated other comprehensive loss	(199,646)					(176,481)				(199,646)	(176,481)	(46,518)	$ (100,861)
Stockholders' Equity Attributable to Parent	2,813,824					2,584,955				2,813,824	2,584,955	2,503,188	$ 2,153,570
Liabilities and Equity	(6,538,564)					(5,975,522)				(6,538,564)	(5,975,522)
Net income	64,501	[1]	58,558	69,087	35,412	71,292	76,548	64,063	26,024	227,558	237,927	292,633
Provision For Income Taxes On Discontinued Operations And Dispositions										195	1,311	(44,522)
Income (Loss) from Discontinued Operations, Net of Tax, Attributable to Parent	$ (48)		$ (52)	$ (54)	$ (41)	$ (30)	$ 1,103	$ (610)	$ (11)	(195)	452	135,743
Product [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Revenue from Contract with Customer, Excluding Assessed Tax										(2,017,042)	(1,935,493)	(1,477,414)
Cost of Goods and Services Sold										(956,398)	(908,228)	(707,962)
Service [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Revenue from Contract with Customer, Excluding Assessed Tax										(866,631)	(842,503)	(779,568)
Cost of Goods and Services Sold										$ (531,220)	$ (528,829)	$ (475,266)

[1] The fourth quarter of fiscal year 2019 includes a pre-tax loss of $31.2 million as a result of the mark-to-market adjustment on postretirement benefit plans. The fourth quarter of fiscal year 2018 includes a pre-tax loss of $21.4 million as a result of the mark-to-market adjustment on postretirement benefit plans. See Note 1 for a discussion of this accounting policy