Pension Plans and Postretirement Benefits (Schedule of Changes in Benefit Obligation) (Details) - Pension Plan - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
United States
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]
Benefit obligation - beginning of year	$ 846.8	$ 805.7
Service cost - benefits earned during the year	9.3	9.3	$ 8.5
Interest cost on projected benefit obligation	21.6	26.5	32.4
Actuarial (gain) loss	(11.8)	72.5
Benefits paid	(66.6)	(67.2)
Other - including foreign currency, settlements/curtailments	0.0	0.0
Benefit obligation - end of year	799.3	846.8	805.7
Accumulated benefit obligation - end of year	795.4	842.0
Foreign
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]
Benefit obligation - beginning of year	70.4	60.3
Service cost - benefits earned during the year	1.3	1.1	0.9
Interest cost on projected benefit obligation	0.7	0.9	1.2
Actuarial (gain) loss	(7.4)	5.8
Benefits paid	(2.2)	(1.7)
Other - including foreign currency, settlements/curtailments	(2.6)	4.0
Benefit obligation - end of year	60.2	70.4	$ 60.3
Accumulated benefit obligation - end of year	$ 55.8	$ 65.3