Income Taxes (Narrative) (Details) - USD ($) $ in Millions	3 Months Ended	12 Months Ended
	Dec. 30, 2017	Dec. 29, 2018	Dec. 30, 2017	Dec. 31, 2016	Jan. 02, 2016
Income Tax Disclosure [Abstract]
Tax act, income tax expense (benefit) impact	$ 1.0
Expected tax liability to be reversed, provisional	51.0
Deemed repatriation of foreign earnings, tax expense, provisional	40.0
Foreign earnings not deemed repatriated, tax expense, provisional	10.0
Remeasurement of deferred tax assets and liabilities		$ 52.7
Deemed repatriation of foreign earnings, tax expense		29.8
Foreign earnings not deemed repatriated, tax expense		13.3
Deferred tax liabilities	(106.8)	(114.1)	$ (106.8)
Deferred tax assets, non-current	28.5	34.2	28.5
Deferred tax liabilities	(135.3)	(148.3)	(135.3)
Unrecognized tax benefits	6.7	6.5	6.7	$ 10.0	$ 8.3
Unrecognized tax benefits, recognized interest expense		0.2	(0.2)	0.2
Unrecognized tax benefits, accrued interest	1.7	1.9	1.7	$ 1.9
Unrecognized tax benefits including accrued that could change in coming year		0.4
Net operating losses	$ 12.9	$ 13.1	$ 12.9
Tax effected net operating losses, expiration period		15 years	15 years
Change in valuation allowance		$ 4.9	$ 5.9
Income tax holiday, amount of decrease in provision for income taxes		4.7
Undistributed earnings of foreign subsidiaries		103.5
Deferred tax liability for local withholding taxes, not recorded		$ 15.8