Income Taxes (Provision for Income Taxes) (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2016	Jan. 03, 2015	Dec. 28, 2013
Current
Federal	$ 13.5	$ 37.8	$ 15.4
State	0.2	1.5	4.8
Foreign	45.1	41.3	29.8
Total	58.8	80.6	50.0
Deferred
Federal	(2.0)	(21.2)	6.3
State	(0.9)	(2.0)	0.1
Foreign	(7.5)	(3.2)	(11.9)
Total	(10.4)	(26.4)	(5.5)
Total	$ 48.4	$ 54.2	$ 44.5