Income Taxes Components of the Provision (Benefits from) Income Tax (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2017	Jan. 01, 2017	Jan. 03, 2016
Income Tax Contingency [Line Items]
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount	$ (65,836)	$ (52,648)	$ (47,994)
Federal current	62,003	14	(10,952)
Federal deferred expense (benefit)	35,435	2,994	(4,794)
Federal total	97,438	3,008	(15,746)
State current	3,332	2,143	2,613
State deferred expense (benefit)	(792)	(575)	(2,563)
State total	2,540	1,568	50
Non-U.S. current	45,639	30,754	37,963
Non-U.S.deferred expense benefit	(5,789)	(6,968)	(2,245)
Non-U.S. total	39,850	23,786	35,718
Total current	110,974	32,911	29,624
Total deferred expense (benefit)	28,854	(4,549)	(9,602)
Total	139,828	28,362	20,022
Discontinued operations	44,522	4,255	11,537
Total provision for income taxes	184,350	32,617	31,559
Singapore, Finland, Netherlands and China [Member]
Income Tax Contingency [Line Items]
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount	$ 55,900	$ 48,200	$ 36,100