Consolidated Statements of Operations - USD ($) $ in Thousands	3 Months Ended									12 Months Ended
	Jan. 03, 2021		Oct. 04, 2020	Jul. 05, 2020	Apr. 05, 2020	Dec. 29, 2019	Sep. 29, 2019	Jun. 30, 2019	Mar. 31, 2019	Jan. 03, 2021	Dec. 29, 2019	Dec. 30, 2018
Revenue
Revenue from Contract with Customer, Excluding Assessed Tax										$ 3,782,745	$ 2,883,673	$ 2,777,996
Selling, general and administrative expenses										917,894	815,318	811,913
Research and development expenses										205,389	189,336	193,998
Restructuring and other costs, net	$ (3,062)		$ 4,059	$ 1,158	$ 5,858	$ 1,560	$ 14,068	$ 6,161	$ 7,639	8,013	29,428	11,144
Operating income from continuing operations	510,254	[1]	248,006	175,639	44,682	138,248	78,660	91,735	53,330	978,581	361,973	323,884
Interest and other expense, net										72,217	124,831	66,201
Income from continuing operations before income taxes	473,091	[1]	233,757	164,827	34,689	65,296	63,254	71,827	36,765	906,364	237,142	257,683
Provision for income taxes										178,266	9,389	20,208
Income from continuing operations	380,434	[1]	176,736	137,213	33,715	64,549	58,610	69,141	35,453	728,098	227,753	237,475
(Loss) gain on disposition of discontinued operations before income taxes										(76)	0	(859)
(Benefit from) provision for income taxes on discontinued operations and dispositions										(135)	195	(1,311)
Income from discontinued operations and dispositions	(73)		(37)	(51)	(50)	(48)	(52)	(54)	(41)	(211)	(195)	452
Net income	$ 380,361	[1]	$ 176,699	$ 137,162	$ 33,665	$ 64,501	$ 58,558	$ 69,087	$ 35,412	$ 727,887	$ 227,558	$ 237,927
Basic earnings per share:
Income from continuing operations	$ 3.40	[1]	$ 1.58	$ 1.23	$ 0.30	$ 0.58	$ 0.53	$ 0.62	$ 0.32	$ 6.53	$ 2.06	$ 2.15
Income from discontinued operations and dispositions	(0.00)		(0.00)	(0.00)	(0.00)	(0.00)	(0.00)	(0.00)	(0.00)	(0.00)	(0.00)	0.00
Net income	3.40	[1]	1.58	1.23	0.30	0.58	0.53	0.62	0.32	6.53	2.06	2.15
Diluted earnings per share:
Income from continuing operations	3.38	[1]	1.57	1.23	0.30	0.58	0.53	0.62	0.32	6.50	2.04	2.13
Income from discontinued operations and dispositions	(0.00)		(0.00)	(0.00)	(0.00)	(0.00)	(0.00)	(0.00)	(0.00)	(0.00)	(0.00)	0.00
Net income	$ 3.38	[1]	$ 1.57	$ 1.23	$ 0.30	$ 0.58	$ 0.52	$ 0.62	$ 0.32	$ 6.49	$ 2.04	$ 2.13
Product [Member]
Revenue
Revenue from Contract with Customer, Excluding Assessed Tax										$ 2,778,725	$ 2,017,042	$ 1,935,493
Cost of Goods and Services Sold										1,105,614	956,398	908,228
Service [Member]
Revenue
Revenue from Contract with Customer, Excluding Assessed Tax										1,004,020	866,631	842,503
Cost of Goods and Services Sold										$ 567,254	$ 531,220	$ 528,829

[1] The fourth quarter of fiscal year 2020 includes a pre-tax loss of $25.4 million as a result of the mark-to-market adjustment on postretirement benefit plans. 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. See Note 1 for a discussion of this accounting policy