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Stockholders' Equity - Changes in Accumulated Other Comprehensive Income by Component, Net of Tax (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2017
Jan. 01, 2017
Jan. 03, 2016
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]      
Balance at year-end $ 58.7 $ 60.7  
Other comprehensive income (loss) before reclassifications 72.0 (2.0)  
Amounts reclassified from accumulated other comprehensive income 0.1 0.0  
Other comprehensive income (loss) 72.1 (2.0) $ 9.6 [1]
Balance at year-end 130.8 58.7 60.7
Foreign Currency Translation Adjustments      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]      
Balance at year-end (23.3) (22.6)  
Other comprehensive income (loss) before reclassifications 16.4 (0.6)  
Amounts reclassified from accumulated other comprehensive income 0.0 (0.1)  
Other comprehensive income (loss) 16.4 (0.7)  
Balance at year-end (6.9) (23.3) (22.6)
Unrealized Gains and Losses on Investment      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]      
Balance at year-end 83.8 84.9  
Other comprehensive income (loss) before reclassifications 56.2 (1.1)  
Amounts reclassified from accumulated other comprehensive income 0.0 0.0  
Other comprehensive income (loss) 56.2 (1.1)  
Balance at year-end 140.0 83.8 84.9
Pension Liability Adjustments      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]      
Balance at year-end (1.8) (1.6)  
Other comprehensive income (loss) before reclassifications (0.6) (0.3)  
Amounts reclassified from accumulated other comprehensive income 0.1 0.1  
Other comprehensive income (loss) (0.5) (0.2)  
Balance at year-end $ (2.3) $ (1.8) $ (1.6)
[1] Fiscal year included 53 weeks.