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Schedule II - Valuation Reserves (Details) - Valuation Reserves - USD ($)
$ in Millions
 12 Months Ended
Dec. 30, 2018
Dec. 31, 2017
Jan. 01, 2017
Allowance for doubtful accounts      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at beginning of year $ 12.9 $ 12.5 $ 10.5
Charged to costs and expenses 3.5 5.3 10.2
Charged to other accounts [1] (0.5) 0.3 0.8
Currency exchange effects (0.4) 0.6 (0.8)
Deductions from reserves (2.3) (5.8) (8.2)
Balance at end of year 13.2 12.9 12.5
Deferred tax assets valuation allowance      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at beginning of year 34.6 42.1 50.9
Charged to costs and expenses 2.6 1.7 2.4
Charged to other accounts 0.0 0.0 0.0
Currency exchange effects (1.8) 3.3 (2.9)
Deductions from reserves (7.6) (12.5) (8.3)
Balance at end of year $ 27.8 $ 34.6 $ 42.1
[1] Adjustment to provision for sales allowances charged to revenue from services.