Schedule II - Valuation and Qualifying Accounts (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Balance at Beginning of Year	$ (130.3)	$ (109.0)	$ (138.6)
Reduction in Sales	0.1	0.0	0.0
Charged to Costs and Expenses	(42.5)	(32.4)	(9.8)
Charged to Other Accounts	(11.7)	(2.5)	36.7
Deductions	5.4	13.6	2.7
Balance at End of Year	(179.0)	(130.3)	(109.0)
Discontinued Operations, Disposed of by Sale
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Valuation allowance			35.1
Accounts receivables
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Balance at Beginning of Year	(8.8)	(9.6)	(8.0)
Reduction in Sales	0.1	0.0	0.0
Charged to Costs and Expenses	(13.4)	(12.7)	(13.7)
Charged to Other Accounts	(4.0)	0.1	9.8
Deductions	5.4	13.4	2.3
Balance at End of Year	(20.7)	(8.8)	(9.6)
Inventories
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Balance at Beginning of Year	(1.2)	(1.4)	(1.5)
Reduction in Sales	0.0	0.0	0.0
Charged to Costs and Expenses	(0.6)	0.0	(0.3)
Charged to Other Accounts	0.0	0.0	0.0
Deductions	0.0	0.2	0.4
Balance at End of Year	(1.8)	(1.2)	(1.4)
Deferred tax assets
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Balance at Beginning of Year	(120.3)	(98.0)	(129.1)
Reduction in Sales	0.0	0.0	0.0
Charged to Costs and Expenses	(28.5)	(19.7)	4.2
Charged to Other Accounts	(7.7)	(2.6)	26.9
Deductions	0.0	0.0	0.0
Balance at End of Year	$ (156.5)	$ (120.3)	$ (98.0)