Income Taxes Components of the Provision (Benefits from) Income Tax (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 03, 2021	Dec. 29, 2019	Dec. 30, 2018
Income Tax Contingency [Line Items]
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount	$ (40,216)	$ (32,124)	$ (27,281)
Federal current	21,262	3,735	7,938
Federal deferred expense (benefit)	15,951	(267)	(5,250)
Federal total	37,213	3,468	2,688
State current	13,688	4,425	2,345
State deferred expense (benefit)	(967)	(1,574)	2,572
State total	12,721	2,851	4,917
Non-U.S. current	172,437	62,582	61,028
Non-U.S.deferred expense benefit	(44,105)	(59,512)	(48,425)
Non-U.S. total	128,332	3,070	12,603
Total current	207,387	70,742	71,311
Total deferred expense (benefit)	(29,121)	(61,353)	(51,103)
Total	178,266	9,389	20,208
Discontinued operations	135	195	(1,311)
Total provision for income taxes	178,401	9,584	18,897
Singapore, Finland, Netherlands and China [Member]
Income Tax Contingency [Line Items]
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount		$ 16,700	$ 18,700
Singapore, Finland, and The Netherlands [Member]
Income Tax Contingency [Line Items]
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount	$ 42,500