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Schedule II - Valuation Reserves (Details) - Valuation Reserves - USD ($)
$ in Millions
 12 Months Ended
Jan. 03, 2021
Dec. 29, 2019
Dec. 30, 2018
Allowance for doubtful accounts      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at beginning of year $ 12.9 $ 13.2 $ 12.9
Charged to costs and expenses   3.4 3.5
Charged to other accounts   0.7 (0.5)
Currency exchange effects   0.0 (0.4)
Deductions from reserves   (4.4) (2.3)
Balance at end of year   12.9 13.2
Deferred tax assets valuation allowance      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at beginning of year 19.0 27.8 34.6
Charged to costs and expenses 3.7 6.1 2.6
Charged to other accounts 0.0 0.0 0.0
Currency exchange effects 0.5 (0.3) (1.8)
Deductions from reserves (3.0) (14.6) (7.6)
Balance at end of year $ 20.2 $ 19.0 $ 27.8