Income Taxes (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 28, 2019	Dec. 29, 2018	Dec. 30, 2017
Domestic and foreign components of income (loss) before taxes [Abstract]
Domestic	$ (44.9)	$ (54.2)	$ (76.2)
Foreign	148.3	330.4	261.3
Income before income taxes	103.4	276.2	185.1
Current:
United States	6.8	13.2	25.6
International	71.7	80.8	136.9
State and local	0.9	(1.0)	2.1
Current provision (benefit) for income taxes	79.4	93.0	164.6
Deferred:
United States	(7.9)	26.1	312.9
International	18.4	1.7	(25.6)
State and local	1.1	(0.5)	(1.4)
Deferred provision (benefit) for income taxes	11.6	27.3	285.9
Provision for income taxes	91.0	120.3	450.5
Reconciliation between provision for income taxes and income taxes computed using U.S. federal statutory rate [Abstract]
Amount computed using statutory rate	21.7	58.0	64.8
Increase (reduction) in taxes resulting from:
Foreign direct taxes in excess of credits	8.2	(10.1)	(5.8)
Foreign rate differential	30.4	(8.3)	14.3
Effective Income Tax Rate Reconciliation, Other Reconciling Items, Amount	(1.7)	0.0	0.0
Effective Income Tax Rate Reconciliation, GILTI	9.8	10.9	0.0
Impact of changes in U.S. tax legislation	(22.2)	39.6	375.0
Other changes in valuation allowances for deferred tax assets	45.6	36.2	5.3
Effective Tax Rate Reconciliation, equity compensation	2.8	0.6	0.0
Foreign and domestic tax audit settlement and adjustments	0.0	0.0	(2.5)
Other	$ (3.6)	$ (6.6)	$ (0.6)
Effective Income Tax Rate Reconciliation, Percent	87.90%	43.60%	243.40%
Tax Cost associated with GILTI	$ 16.9	$ 10.9
Undistributed earnings of international subsidiaries	2,000.0
Gross deferred tax liabilities [Abstract]
Purchased intangibles	(9.1)	(17.4)
Deferred Tax Liabilities, Leasing Arrangements	(22.7)	0.0
Other	(0.8)	(1.6)
Deferred Tax Liabilities, Gross	32.6	19.0
Gross deferred tax assets [Abstract]
Credit and net operating loss carry forwards (net of unrecognized tax benefits)	296.3	314.2
Employee benefits accruals	45.5	45.5
Deferred costs	39.5	35.1
Fixed assets basis differences	19.9	18.6
Capitalized intangibles	21.7	19.1
Other accruals	56.6	62.0
Accounts receivable	14.5	1.3
Post-retirement benefits	3.3	3.4
Depreciation	5.5	9.4
Deferred Tax Assets, Lease Assets	22.7	0.0
Inventory	5.6	4.7
Deferred Tax Assets, Gross	531.1	513.3
Valuation allowances	(315.6)	(284.6)
Net deferred tax assets	182.9	209.7
Accrual for withholding taxes on undistributed earnings of foreign subsidiaries	8.8
Undistributed earnings of foreign subsidiary not intended to be permanently reinvested	178.3
Unrecognized tax benefits that would impact effective tax rate	13.2
Reconciliation of unrecognized tax benefits [Roll Forward]
Unrecognized tax benefits beginning balance	15.1	19.8	$ 20.7
Additions based on tax positions related to the current year	1.1	2.2	3.6
Additions for tax positions of prior year	3.0	0.5	2.2
Reduction for tax positions of prior years	(2.4)	(3.4)	(3.0)
Settlements	(3.0)	0.0	(1.2)
Reductions for lapse in statute of limitations	(0.3)	(3.6)	(3.7)
Impact of foreign currency rate changes versus the U.S. dollar	0.0	(0.4)
Unrecognized Tax Benefits, Increase Resulting from Foreign Currency Translation			1.2
Unrecognized tax benefits ending balance	13.5	15.1	19.8
Accrued interest and penalties	4.0	5.5
Interest and Penalties that could impact effective tax rate, uncertain tax positions	4.0	5.5
Income taxes paid, net	98.9	124.5	123.3
Net benefit of tax holiday	0.1	0.3	$ 0.7
Domestic Tax Authority [Member]
Gross deferred tax assets [Abstract]
Operating loss carryforwards	0.0
State [Member]
Gross deferred tax assets [Abstract]
Operating loss carryforwards	10.8
Foreign [Member]
Gross deferred tax assets [Abstract]
Operating loss carryforwards	440.8
Tax credit carryforwards	$ 189.5	$ 193.5