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Narrative (Details) - USD ($)
$ in Millions
 3 Months Ended 12 Months Ended
Dec. 31, 2023
Dec. 29, 2024
Dec. 31, 2023
Jan. 01, 2023
Jan. 02, 2022
NOL and Tax Credit Carryforwards [Line Items]          
Valuation allowance   $ (0.3) $ (198.8) $ (84.4)  
Valuation allowance benefit $ (140.3)        
Accumulated other comprehensive loss, net of tax 83.2 89.5 83.2 67.4 $ 141.3
Deferred taxes for foreign withholding taxes   9.9      
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax   (11.2) (7.2) (16.8)  
Goodwill (227.2) (227.2) (227.2)    
Income tax provision (benefit)   103.4 (128.2) 15.5  
Settlement gain (loss)   0.0 (1.1) (0.7)  
State and local income taxes, net of federal tax benefit   9.3 1.2 2.9  
Net current-period OCI   (6.3) (15.8) 73.9  
Discrete tax benefits   6.2      
Share-based compensation   3.3      
Valuation Allowance Benefit          
NOL and Tax Credit Carryforwards [Line Items]          
Valuation allowance     (206.6)    
State and local income taxes, net of federal tax benefit     7.8    
Sheffield, UK Operations          
NOL and Tax Credit Carryforwards [Line Items]          
Loss (gain) on asset sales and sales of businesses, net       112.2  
Accumulated Deferred Tax Asset Valuation Allowance          
NOL and Tax Credit Carryforwards [Line Items]          
Accumulated other comprehensive loss, net of tax (24.1) (23.3) (24.1) (23.9) (5.1)
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax   0.8 (0.2) (18.8)  
Net current-period OCI   (0.8) 0.2 18.8  
Post- retirement benefit plans [Member]          
NOL and Tax Credit Carryforwards [Line Items]          
Accumulated other comprehensive loss, net of tax $ 32.5 30.5 32.5 34.7 $ 86.6
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax   (3.6) (5.1) (10.6)  
Net current-period OCI   2.0 2.2 51.9  
Post- retirement benefit plans [Member] | Reclassification out of Accumulated Other Comprehensive Income [Member]          
NOL and Tax Credit Carryforwards [Line Items]          
Income tax provision (benefit)   (1.1) (1.4) (2.8)  
Settlement gain (loss)   $ 0.0 $ (1.1) $ (0.7)