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Retirement plans - Change in UK Plan Assets (Details) - Pension plan - Foreign Plan - USD ($)
$ in Millions
12 Months Ended
Jan. 29, 2022
Jan. 30, 2021
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]    
Fair value at beginning of year $ 299.2 $ 281.9
Actual return on UK Plan assets (0.3) 11.9
Employer contributions 12.4 4.4
Benefits paid (8.9) (9.8)
Foreign currency translation (6.8) 10.8
Fair value at end of year $ 295.6 $ 299.2