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Post-retirement benefits - Schedule of changes in the projected benefit obligation (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 02, 2021
Dec. 28, 2019
Dec. 29, 2018
Defined Benefit Plan, Change in Benefit Obligation      
Interest cost $ 18.3    
Net actuarial loss (31.3)    
Pensions      
Defined Benefit Plan, Change in Benefit Obligation      
Benefit obligation at the beginning of the period 898.1 $ 827.1  
Employer service cost 5.6 5.5  
Plan participants’ contributions 0.2 0.2  
Plan amendments 1.5 0.0  
Interest cost 18.3 23.4 $ 23.6
Net actuarial loss 31.3 83.1  
Benefits paid (44.6) (51.6)  
Expenses paid from assets (2.0) (2.3)  
Curtailments and settlements (30.6) (3.6)  
Foreign currency translation 28.1 16.3  
Benefit obligation at the end of the period 905.9 898.1 827.1
Accumulated benefit obligation 901.6 892.4  
Other post-retirement benefits      
Defined Benefit Plan, Change in Benefit Obligation      
Benefit obligation at the beginning of the period 57.9 60.0  
Interest cost 1.7 2.3 2.2
Net actuarial loss 0.3 (1.8)  
Benefits paid (3.7) (3.5)  
Foreign currency translation 0.5 0.9  
Benefit obligation at the end of the period 56.7 57.9 $ 60.0
Accumulated benefit obligation $ 56.7 $ 57.9