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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. 03, 2021
Dec. 29, 2019
Dec. 30, 2018
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]      
Balance at beginning of year $ 1,264.5 $ 1,159.5  
Balance at end of year 1,203.0 1,264.5 $ 1,159.5
Foreign currency translation adjustments:      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]      
Balance at beginning of year (13.2) (15.7) (6.9)
Other comprehensive income (loss) before classifications 13.9 2.5 (8.4)
Amounts reclassified from accumulated other comprehensive income [1] (1.5) 0.0 (0.4)
Net current-period other comprehensive income (loss) 12.4 2.5 (8.8)
Balance at end of year (0.8) (13.2) (15.7)
Unrealized gains and losses on investment:      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]      
Balance at beginning of year 0.0 0.0 140.0
Other comprehensive income (loss) before classifications 0.0 0.0 0.0
Amounts reclassified from accumulated other comprehensive income 0.0 0.0 0.0
Net current-period other comprehensive income (loss) 0.0 0.0 (140.0)
Balance at end of year 0.0 0.0 0.0
Pension liability adjustments:      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]      
Balance at beginning of year (2.6) (1.4) (2.3)
Other comprehensive income (loss) before classifications (0.9) (1.3) 0.8
Amounts reclassified from accumulated other comprehensive income [2] 0.1 0.1 0.1
Net current-period other comprehensive income (loss) (0.8) (1.2) 0.9
Balance at end of year (3.4) (2.6) (1.4)
Accumulated Other Comprehensive Income (Loss)      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]      
Balance at beginning of year (15.8) (17.1) 130.8
Balance at end of year $ (4.2) (15.8) (17.1)
Accounting Standards Update 2016-01 | Accumulated Other Comprehensive Income (Loss) | Cumulative Effect, Period of Adoption, Adjustment      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]      
Balance at beginning of year   $ (140.0)  
Balance at end of year     $ (140.0)
[1] Amount was recorded in the other expense, net line item in the consolidated statements of earnings.
[2] Amount was recorded in the SG&A expenses line item in the consolidated statements of earnings.