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Stockholders' Equity - Changes in Accumulated Other Comprehensive Income by Component, Net of Tax (Details) - USD ($)
$ in Millions
 12 Months Ended
Jan. 01, 2017
Jan. 03, 2016
Dec. 28, 2014
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]      
Balance at year-end $ 60.7 $ 51.1  
Other comprehensive income (loss) before reclassifications (2.0) 9.7  
Amounts reclassified from accumulated other comprehensive income 0.0 (0.1)  
Other comprehensive income (loss) (2.0) 9.6 [1] $ (10.3)
Balance at year-end 58.7 60.7 51.1
Foreign Currency Translation Adjustments      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]      
Balance at year-end (22.6) (3.0)  
Other comprehensive income (loss) before reclassifications (0.6) (19.4)  
Amounts reclassified from accumulated other comprehensive income (0.1) (0.2)  
Other comprehensive income (loss) (0.7) (19.6)  
Balance at year-end (23.3) (22.6) (3.0)
Unrealized Gains and Losses on Investment      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]      
Balance at year-end 84.9 56.3  
Other comprehensive income (loss) before reclassifications (1.1) 28.6  
Amounts reclassified from accumulated other comprehensive income 0.0 0.0  
Other comprehensive income (loss) (1.1) 28.6  
Balance at year-end 83.8 84.9 56.3
Pension Liability Adjustments      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]      
Balance at year-end (1.6) (2.2)  
Other comprehensive income (loss) before reclassifications (0.3) 0.5  
Amounts reclassified from accumulated other comprehensive income 0.1 0.1  
Other comprehensive income (loss) (0.2) 0.6  
Balance at year-end $ (1.8) $ (1.6) $ (2.2)
[1] Fiscal year included 53 weeks.