Taxes Based on Income (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Oct. 03, 2015	Sep. 27, 2014	Oct. 03, 2015	Sep. 27, 2014
Taxes Based on Income
Income from continuing operations before taxes	$ 116.1	$ 99.1	$ 317.4	$ 263.0
Provision for income taxes	$ 34.8	$ 38.2	$ 99.5	$ 85.5
Effective tax rate (as a percent)	30.00%	38.50%	31.30%	32.50%
Tax benefit for adjustments to domestic income taxes	$ 4.2		$ 4.2
Tax benefit from an enacted favorable foreign tax law change	0.9		0.9
Tax expense associated with the tax cost to repatriate non-permanently reinvested 2015 earnings of certain foreign subsidiaries			5.4
Net tax benefit related to changes in the effective tax rates in certain foreign municipalities			1.6
Tax benefit due primarily to decreases in certain tax reserves as a result of closing of tax years			4.2
Tax benefit as a result of changes in certain tax reserves and valuation allowances		$ 4.2		$ 20.0
Tax expense from the taxable inclusion of a net foreign currency gain related to revaluation of certain intercompany loans		$ 4.6		4.6
Tax expense related to change in estimate of the potential outcome of uncertain tax issues in China				$ 6.0
Reasonably possible decrease in unrecognized tax benefits during next 12 months	$ 15.0		$ 15.0