Pension Plans and Postretirement Benefits (Benefit Obligation) (Details) $ in Millions	12 Months Ended
	Jan. 01, 2017 USD ($) insurancecompany	Jan. 03, 2016 USD ($)	Dec. 28, 2014 USD ($)
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]
Defined benefit plan, settlements	$ 14.6	$ 10.5
Number of insurance companies | insurancecompany	2
Annuity premium	$ 27.2
Domestic
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]
Benefit obligation - beginning of year	820.4	878.4
Service cost - benefits earned during the year	10.4	12.4	$ 11.7
Interest cost on projected benefit obligation	38.9	37.8	40.3
Actuarial (gain) loss	29.5	(33.8)
Benefits paid	(88.3)	(57.2)
Plan amendments	0.0	(17.0)
Settlements/curtailments	0.0	0.0
Other - including foreign currency	0.0	(0.2)
Benefit obligation - end of year	810.9	820.4	878.4
Accumulated benefit obligation - end of year	807.3	817.8
Foreign
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]
Benefit obligation - beginning of year	56.6	61.1
Service cost - benefits earned during the year	0.8	0.9	0.8
Interest cost on projected benefit obligation	1.6	1.7	2.2
Actuarial (gain) loss	6.2	(0.9)
Benefits paid	(1.8)	(2.8)
Plan amendments	(0.3)	(0.2)
Settlements/curtailments	(4.6)	0.0
Other - including foreign currency	(7.1)	(3.2)
Benefit obligation - end of year	51.4	56.6	$ 61.1
Accumulated benefit obligation - end of year	$ 49.1	$ 53.7