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Schedule II - Valuation Reserves (Details) - Valuation Reserves - USD ($)
$ in Millions
 12 Months Ended
Jan. 03, 2016
Dec. 28, 2014
Dec. 29, 2013
Allowance for doubtful accounts      
Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at beginning of year $ 10.7 $ 9.9 $ 10.4
Charged to costs and expenses 3.7 4.8 2.5
Charged to other accounts 0.0 0.5 (0.5)
Currency exchange effects (0.5) (1.9) 0.0
Deductions from reserves (3.4) (2.6) (2.5)
Balance at end of year 10.5 10.7 9.9
Deferred tax assets valuation allowance      
Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at beginning of year 58.5 56.3 58.4
Charged to costs and expenses 2.0 7.5 8.7
Charged to other accounts 0.0 0.0 0.0
Currency exchange effects (5.3) (2.7) (1.1)
Deductions from reserves (4.3) (2.6) (9.7)
Balance at end of year $ 50.9 $ 58.5 $ 56.3