Revisions to Previously Reported Financial Information Revisions to Previously Reported Financial Information (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2016	Jan. 02, 2015	Jan. 03, 2014	Dec. 28, 2012
Error Corrections and Prior Period Adjustments Restatement [Line Items]
Goodwill	$ 2,106.4	$ 2,085.8	$ 1,985.3
Assets	3,680.7	3,855.9
Accumulated other comprehensive loss	(166.8)	(76.7)
Stockholders' Equity Attributable to Parent	2,219.7	2,341.6
Stockholders' Equity, Including Portion Attributable to Noncontrolling Interest	2,220.6	2,353.4	2,229.8	$ 1,913.3
Liabilities and Equity	3,680.7	3,855.9
Net income	120.7	213.9	218.2
Foreign currency translation adjustments, net of tax $(4.3) in 2015, $(6.4) in 2014, and $(1.4) in 2013	(90.2)	(104.0)	6.2
Other Comprehensive (Income) Loss, Pension and Other Postretirement Benefit Plans, Adjustment, Net of Tax	0.1	(1.7)	0.4
Comprehensive Income (Loss), Net of Tax, Including Portion Attributable to Noncontrolling Interest	30.6	108.2	224.8
Less: Net loss attributable to noncontrolling interests	(0.4)	(0.2)	(0.7)
Comprehensive Income (Loss), Net of Tax, Attributable to Parent	$ 31.0	108.4	225.5
Scenario, Previously Reported [Member]
Error Corrections and Prior Period Adjustments Restatement [Line Items]
Goodwill		2,101.2
Assets		3,871.3
Accumulated other comprehensive loss		(61.3)
Stockholders' Equity Attributable to Parent		2,357.0
Stockholders' Equity, Including Portion Attributable to Noncontrolling Interest		2,368.8
Liabilities and Equity		3,871.3
Foreign currency translation adjustments, net of tax $(4.3) in 2015, $(6.4) in 2014, and $(1.4) in 2013		(92.8)	10.2
Other Comprehensive (Income) Loss, Pension and Other Postretirement Benefit Plans, Adjustment, Net of Tax		(1.7)	0.4
Comprehensive Income (Loss), Net of Tax, Including Portion Attributable to Noncontrolling Interest		119.4	228.8
Less: Net loss attributable to noncontrolling interests		(0.2)	(0.7)
Comprehensive Income (Loss), Net of Tax, Attributable to Parent		119.6	229.5
Adjustments for Error Correction
Error Corrections and Prior Period Adjustments Restatement [Line Items]
Goodwill		(15.4)
Assets		(15.4)
Accumulated other comprehensive loss		(15.4)
Stockholders' Equity Attributable to Parent		(15.4)
Stockholders' Equity, Including Portion Attributable to Noncontrolling Interest		(15.4)
Liabilities and Equity		(15.4)
Net income		0.0	0.0
Foreign currency translation adjustments, net of tax $(4.3) in 2015, $(6.4) in 2014, and $(1.4) in 2013		(11.2)	(4.0)
Other Comprehensive (Income) Loss, Pension and Other Postretirement Benefit Plans, Adjustment, Net of Tax		0.0	0.0
Comprehensive Income (Loss), Net of Tax, Including Portion Attributable to Noncontrolling Interest		(11.2)	(4.0)
Less: Net loss attributable to noncontrolling interests		0.0	0.0
Comprehensive Income (Loss), Net of Tax, Attributable to Parent		$ (11.2)	$ (4.0)