Income Taxes (Narrative) (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2016	Jan. 03, 2015	Dec. 28, 2013
Income Tax Disclosure [Abstract]
Deferred tax liabilities	$ (82.3)	$ (49.0)
Deferred tax benefit, noncurrent	18.6	17.9
Deferred tax liabilities, net, noncurrent	100.9	66.9
Unrecognized tax benefits which would impact the effective income tax rate	8.3
Unrecognized tax benefits, recognized interest expense	0.6	(0.2)	$ 0.2
Unrecognized tax benefits, accrued interest	1.7	1.1	$ 1.3
Unrecognized tax benefits including accrued that could change in coming year	0.3
Net operating losses	$ 14.4	$ 16.6
Tax effected net operating losses, expiration period	15 years	15 years
Change in valuation allowance	$ 8.2	$ 10.1
Deferred tax liability not recorded related to undistributed earnings of foreign subsidiaries	133.9
Undistributed earnings of foreign subsidiaries	$ 626.9