Taxes Based on Income (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jul. 04, 2015	Jun. 28, 2014	Jul. 04, 2015	Jun. 28, 2014
Taxes Based on Income
Income from continuing operations before taxes	$ 100.8	$ 77.1	$ 200.3	$ 164.9
Provision for income taxes	$ 36.5	$ 32.7	$ 64.4	$ 48.9
Effective tax rate (as a percent)	36.20%	42.40%	32.20%	29.70%
Tax expense associated with the tax cost to repatriate non-permanently reinvested 2015 earnings of certain foreign subsidiaries	$ 5.3		$ 5.3
Tax expense due to non-deductible employee-related expenses	0.5		0.5
Tax benefits due to decreases in certain tax reserves as a result of closing tax years	0.7		4.1
Net tax expense as a result of changes in certain tax reserves and valuation allowances		$ 5.8
Net tax benefits as a result of changes in certain tax reserves and valuation allowance				$ 3.7
Net Tax benefit related to changes in the effective tax rates in certain foreign municipalities			1.6
Tax expense from an out-of-period adjustment to properly reflect the valuation allowance related to state deferred tax assets		6.1		6.1
Tax expense related to change in estimate of the potential outcome of uncertain tax issues in China		6.0		6.0
Tax benefit due primarily to decreases in certain tax reserves as a result of closing of tax years		$ 6.3		15.8
Income tax benefit from out-of-period adjustments to properly state deferred taxes related to acquisitions completed in 2002 and 2003				$ 4.8
Reasonably possible decrease in unrecognized tax benefits during next 12 months	$ 11.0		$ 11.0