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Accumulated Other Comprehensive Income (Loss) and Shareholders' Equity - Changes in Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Millions
 12 Months Ended
Dec. 31, 2022
Jan. 01, 2022
Jan. 02, 2021
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance $ 590.0 $ 590.7 $ 584.4
Ending Balance 616.8 590.0 590.7
Accumulated Other Comprehensive Income (Loss)      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance (6.8) (9.2) (8.1)
Other comprehensive income (loss) before reclassifications 3.2 1.7 (2.9)
Tax (expense) or benefit (1.3) (0.3) 1.0
Amounts reclassified from accumulated other comprehensive income (loss), net of tax (3.1) 1.1 0.8
Ending Balance (8.0) (6.8) (9.2)
Foreign Currency Translation Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance (0.7) (1.1) (2.9)
Other comprehensive income (loss) before reclassifications (2.4) 0.4 1.4
Tax (expense) or benefit 0.0 0.0 0.0
Amounts reclassified from accumulated other comprehensive income (loss), net of tax (3.3) 0.0 0.4
Ending Balance (6.4) (0.7) (1.1)
Unrealized Gains (Losses) on Debt Securities      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance 0.1 0.4 0.1
Other comprehensive income (loss) before reclassifications (0.9) (0.3) 0.4
Tax (expense) or benefit 0.2 0.1 (0.1)
Amounts reclassified from accumulated other comprehensive income (loss), net of tax (0.0) (0.0) (0.0)
Ending Balance (0.6) 0.1 0.4
Pension and Post-retirement Liabilities      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance (5.4) (6.7) (5.8)
Other comprehensive income (loss) before reclassifications 5.3 1.2 (1.5)
Tax (expense) or benefit (1.3) (0.3) 0.3
Amounts reclassified from accumulated other comprehensive income (loss), net of tax 0.2 0.3 0.2
Ending Balance (1.1) (5.4) (6.7)
Derivative Financial Instruments      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance (0.7) (1.8) 0.5
Other comprehensive income (loss) before reclassifications 1.1 0.4 (3.2)
Tax (expense) or benefit (0.3) (0.1) 0.8
Amounts reclassified from accumulated other comprehensive income (loss), net of tax (0.0) 0.7 0.2
Ending Balance $ 0.1 $ (0.7) $ (1.8)