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Schedule II - Valuation and Qualifying Accounts (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at Beginning of Year $ (179.0) $ (130.3) $ (109.0)
Reduction in Sales 0.0 0.1 0.0
Charged to Costs and Expenses (20.7) (42.5) (32.4)
Charged to Other Accounts 1.6 (11.7) (2.5)
Deductions 11.1 5.4 13.6
Balance at End of Year (187.0) (179.0) (130.3)
Accounts receivables      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at Beginning of Year (20.7) (8.8) (9.6)
Reduction in Sales 0.0 0.1 0.0
Charged to Costs and Expenses (10.7) (13.4) (12.7)
Charged to Other Accounts 0.1 (4.0) 0.1
Deductions 10.5 5.4 13.4
Balance at End of Year (20.8) (20.7) (8.8)
Inventories      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at Beginning of Year (1.8) (1.2) (1.4)
Reduction in Sales 0.0 0.0 0.0
Charged to Costs and Expenses (0.4) (0.6) 0.0
Charged to Other Accounts 0.1 0.0 0.0
Deductions 0.6 0.0 0.2
Balance at End of Year (1.5) (1.8) (1.2)
Deferred tax assets      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at Beginning of Year (156.5) (120.3) (98.0)
Reduction in Sales 0.0 0.0 0.0
Charged to Costs and Expenses (9.6) (28.5) (19.7)
Charged to Other Accounts 1.4 (7.7) (2.6)
Deductions 0.0 0.0 0.0
Balance at End of Year $ (164.7) $ (156.5) $ (120.3)