Pension Plans and Postretirement Benefits (Benefit Obligation) (Details) - Pension Plan - USD ($) $ in Millions	12 Months Ended
	Jan. 03, 2021	Dec. 29, 2019	Dec. 30, 2018
United States
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]
Benefit obligation - beginning of year	$ 805.7	$ 731.7
Service cost - benefits earned during the year	9.3	8.5	$ 9.8
Interest cost on projected benefit obligation	26.5	32.4	31.5
Actuarial (gain) loss	72.5	93.1
Benefits paid	(67.2)	(60.0)
Other - including foreign currency, settlements/curtailments	0.0	0.0
Benefit obligation - end of year	846.8	805.7	731.7
Accumulated benefit obligation - end of year	842.0	801.3
Foreign
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]
Benefit obligation - beginning of year	60.3	52.3
Service cost - benefits earned during the year	1.1	0.9	0.9
Interest cost on projected benefit obligation	0.9	1.2	1.3
Actuarial (gain) loss	5.8	5.6
Benefits paid	(1.7)	(2.0)
Other - including foreign currency, settlements/curtailments	4.0	2.3
Benefit obligation - end of year	70.4	60.3	$ 52.3
Accumulated benefit obligation - end of year	$ 65.3	$ 56.3