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Retirement plans - Changes in Fair Value of Level 3 Investment Assets (Details) - Pension plan - Foreign Plan - USD ($)
$ in Millions
12 Months Ended
Jan. 28, 2023
Jan. 29, 2022
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]    
Fair value at beginning of year $ 295.6 $ 299.2
Actual return on assets, assets still held at reporting date (28.4) (0.3)
Foreign currency translation (12.2) (6.8)
Fair value at end of year 2.7 295.6
Level 3    
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]    
Fair value at beginning of year 291.6 0.0
Purchases, sales, and settlements, net (262.7) 318.3
Actual return on assets, assets still held at reporting date (16.1) (16.8)
Foreign currency translation (11.2) (9.9)
Fair value at end of year $ 1.6 $ 291.6