Changes in Accounting Policies (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019	Dec. 30, 2018
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Revenue from Contract with Customer, Excluding Assessed Tax	$ (5,067,169)	$ (3,782,745)	$ (2,883,673)
Selling, general and administrative expenses	1,227,521	917,894	815,318
Research and development expenses	274,969	205,389	189,336
Restructuring and other costs, net	16,432	8,013	29,428
Interest and other expense, net	52,492	72,217	124,831
Operating income from continuing operations	1,332,378	978,581	361,973
Nonoperating Income (Expense)	52,492	72,217	124,831
Provision for income taxes	336,603	178,266	9,389
Operating income from continuing operations	943,283	728,098	227,753
(Loss) gain on disposition of discontinued operations before income taxes	0	(76)	0
Cash and cash equivalents	618,319	402,036	191,877
Accounts receivable, net	(1,023,792)	(1,155,109)
Inventories	624,714	514,567
Other current assets	(173,955)	(167,208)
Property, plant and equipment, net	545,605	368,304
Intangible assets, net	4,063,104	1,365,693
Goodwill	7,416,584	3,447,114	3,111,227
Other assets, net	326,706	333,048
Current portion of long-term debt	4,240	380,948
Assets	(15,000,554)	(7,960,315)
Current portion of long-term debt		380,948
Accounts payable	355,458	327,325
Accrued expenses and other current liabilities	854,046	943,916
Long-term debt	4,979,737	1,609,701
Long-term liabilities	1,480,469	774,531
Liabilities	7,859,309	4,224,823
Preferred stock—$1 par value per share, authorized 1,000,000 shares; none issued or outstanding	0	0
Common Stock, Value, Issued	126,241	112,090
Capital in excess of par value	2,760,522	148,101
Retained earnings	4,417,174	3,507,262
Accumulated other comprehensive loss	(162,692)	(31,961)	(199,646)	$ (176,481)
Stockholders' Equity Attributable to Parent	7,141,245	3,735,492	2,813,824	$ 2,584,955
Liabilities and Equity	(15,000,554)	(7,960,315)
Net income	943,157	727,887	227,558
Provision For Income Taxes On Discontinued Operations And Dispositions	126	(135)	(195)
Income (Loss) from Discontinued Operations, Net of Tax, Attributable to Parent	(126)	(211)	(195)
Product [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Revenue from Contract with Customer, Excluding Assessed Tax	(3,329,102)	(2,778,725)	(2,017,042)
Cost of Goods and Services Sold	(1,503,881)	(1,105,614)	(956,398)
Service [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Revenue from Contract with Customer, Excluding Assessed Tax	(1,738,067)	(1,004,020)	(866,631)
Cost of Goods and Services Sold	$ (711,988)	$ (567,254)	$ (531,220)