Income Taxes (Income Tax Expense (Benefit) (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Jan. 01, 2017	Oct. 02, 2016	Jul. 03, 2016	Apr. 03, 2016	Jan. 03, 2016	Sep. 27, 2015	Jun. 28, 2015	Mar. 29, 2015	Jan. 01, 2017	Jan. 03, 2016	Dec. 28, 2014
Current
Federal									$ 43.0	$ 54.4	$ 57.4
State									3.9	5.3	(1.1)
Foreign									3.4	4.0	9.3
Total current									50.3	63.7	65.6
Deferred
Federal									4.3	3.5	(0.2)
State									(4.8)	(2.5)	1.0
Foreign									0.6	(2.0)	0.1
Total deferred									0.1	(1.0)	0.9
Provision for income taxes	$ 7.1	$ 10.4	$ 18.0	$ 14.9	$ 12.8	$ 13.1	$ 18.3	$ 18.5	$ 50.4	$ 62.7	$ 66.5