Income Taxes Reconciliation of Income Tax Expense (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2017	Jan. 01, 2017	Jan. 03, 2016
Income Tax Contingency [Line Items]
Tax at statutory rate	$ 103,851	$ 85,424	$ 73,082
Non-U.S. rate differential, net	(65,836)	(52,648)	(47,994)
U.S. taxation of multinational operations	5,408	6,941	1,732
State income taxes, net	1,810	1,509	80
Prior year tax matters	(7,955)	(9,621)	(6,387)
Federal tax credits	(8,249)	(7,189)	(2,096)
Change in valuation allowance	1,951	(2,755)	2,593
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Amount	0	5,701	0
Tax Adjustments, Settlements, and Unusual Provisions	98,600	(9,600)	(6,400)
Other, net	2,310	1,000	(988)
Total	139,828	28,362	20,022
Singapore, Finland, Netherlands and China [Member]
Income Tax Contingency [Line Items]
Non-U.S. rate differential, net	55,900	48,200	36,100
2017 Tax Cuts and Jobs Act [Member]
Income Tax Contingency [Line Items]
Tax Adjustments, Settlements, and Unusual Provisions	$ 106,538	$ 0	$ 0