Retirement Benefit Plans (Net Funded Status and Amounts Recognized in Balance Sheet) (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 28, 2019	Dec. 29, 2018	Dec. 30, 2017
Defined Benefit Plan Disclosure [Line Items]
Pension obligation reclass to severance re-engineering, France		$ 5.0
Change in Fair Value of Plan Assets [Roll Forward]
Accrued benefit liabilty	$ (133.1)	(130.1)
Accumulated Other Comprehensive Income (Loss) [Abstract]
Accumulated other comprehensive loss (pretax)	49.8	35.3
Pension Plans with Accumulated Benefit Obligations in Excess of Plan Assets [Abstract]
Accumulated benefit obligation	177.9	199.9
Fair value of plan assets	82.4	104.2
Pension Benefits [Member]
Change in Benefit Obligation [Roll Forward]
Service cost	7.3	8.4	$ 10.4
Interest cost	6.0	5.4	5.6
Change in Fair Value of Plan Assets [Roll Forward]
Beginning balance	106.3
Ending balance	111.3	106.3
Accumulated Other Comprehensive Income (Loss) [Abstract]
Unrecognized transition obligation	2.0	2.4
Unrecognized prior service cost (benefit)	2.0	2.1
Unreocognized net actuarial loss	50.3	37.4
Accumulated other comprehensive loss (pretax)	54.3	41.9
Accumulated benefit obligation	206.4	201.9
Pension Benefits [Member] | UNITED STATES
Change in Benefit Obligation [Roll Forward]
Beginning balance, benefit obligations	45.5	50.7
Service cost	0.0	0.0
Interest cost	1.6	1.6
Actuarial (gain) loss	4.6	(3.7)
Benefits paid	(0.9)	(0.8)
Impact of exchange rates	0.0	0.0
Plan Participant Contributions	0.0	0.0
Settlements/Curtailments (a)	(11.8)	(2.3)
Ending balance, benefit obligations	39.0	45.5	50.7
Change in Fair Value of Plan Assets [Roll Forward]
Beginning balance	24.4	29.0
Actual return on plan assets	6.4	(1.8)
Company contributions	10.9	0.7
Plan Participant Contributions	0.0	0.0
Benefits and expenses paid	(1.3)	(1.2)
Impact of exchange rates	0.0	0.0
Settlements	(11.8)	(2.3)
Ending balance	28.6	24.4	29.0
Funded status of plan	(10.4)	(21.1)
Pension Benefits [Member] | Foreign Plan [Member]
Change in Benefit Obligation [Roll Forward]
Beginning balance, benefit obligations	178.3	194.9
Service cost	7.3	8.4
Interest cost	4.4	3.8
Actuarial (gain) loss	17.5	(6.8)
Benefits paid	(4.5)	(7.5)
Impact of exchange rates	(1.2)	(4.8)
Plan Participant Contributions	1.0	0.9
Settlements/Curtailments (a)	(10.1)	(10.6)
Ending balance, benefit obligations	192.7	178.3	194.9
Change in Fair Value of Plan Assets [Roll Forward]
Beginning balance	81.9	87.7
Actual return on plan assets	5.8	(3.1)
Company contributions	8.8	11.2
Plan Participant Contributions	1.0	0.9
Benefits and expenses paid	(4.5)	(7.5)
Impact of exchange rates	(0.3)	(1.7)
Settlements	(10.1)	(5.6)
Ending balance	82.6	81.9	87.7
Funded status of plan	(110.1)	(96.4)
Postretirement Benefits [Member]
Change in Benefit Obligation [Roll Forward]
Service cost	0.1	0.1	0.1
Interest cost	0.5	0.5	0.7
Accumulated Other Comprehensive Income (Loss) [Abstract]
Unrecognized transition obligation	0.0	0.0
Unrecognized prior service cost (benefit)	(3.4)	(4.7)
Unreocognized net actuarial loss	(1.1)	(1.9)
Accumulated other comprehensive loss (pretax)	(4.5)	(6.6)
Postretirement Benefits [Member] | UNITED STATES
Change in Benefit Obligation [Roll Forward]
Beginning balance, benefit obligations	12.6	15.2
Service cost	0.1	0.1
Interest cost	0.5	0.5
Actuarial (gain) loss	0.8	(1.7)
Benefits paid	(1.4)	(1.4)
Impact of exchange rates	0.0	(0.1)
Plan Participant Contributions	0.0	0.0
Settlements/Curtailments (a)	0.0	0.0
Ending balance, benefit obligations	12.6	12.6	15.2
Change in Fair Value of Plan Assets [Roll Forward]
Beginning balance	0.0	0.0
Actual return on plan assets	0.0	0.0
Company contributions	1.4	1.4
Plan Participant Contributions	0.0	0.0
Benefits and expenses paid	(1.4)	(1.4)
Impact of exchange rates	0.0	0.0
Settlements	0.0	0.0
Ending balance	0.0	0.0	$ 0.0
Funded status of plan	$ (12.6)	$ (12.6)