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Retirement plans - Narrative (Details)
£ in Millions, $ in Millions
3 Months Ended 12 Months Ended 18 Months Ended
Aug. 09, 2021
GBP (£)
Aug. 09, 2021
USD ($)
Apr. 29, 2023
USD ($)
Jan. 28, 2023
USD ($)
Jul. 30, 2022
USD ($)
Apr. 30, 2022
USD ($)
Feb. 03, 2024
GBP (£)
Feb. 03, 2024
USD ($)
Jan. 28, 2023
USD ($)
Jan. 29, 2022
USD ($)
Feb. 04, 2023
GBP (£)
Feb. 04, 2023
USD ($)
Jul. 29, 2021
employee
Defined Contribution Plan Disclosure [Line Items]                          
Deferred compensation plan assets       $ 22.3       $ 25.2 $ 22.3        
Deferred Compensation Liability, Current and Noncurrent       33.9       38.5 33.9        
Life Insurance                          
Defined Contribution Plan Disclosure [Line Items]                          
Deferred compensation plan assets       5.5       5.6 5.5        
Pension plan | UK Defined Contribution Plan                          
Defined Contribution Plan Disclosure [Line Items]                          
Defined Contribution Plan, Employer Discretionary Contribution Amount               2.4 2.5 $ 2.4      
Pension plan | US 401k Plan                          
Defined Contribution Plan Disclosure [Line Items]                          
Defined Contribution Plan, Employer Discretionary Contribution Amount               $ 13.6 12.6 13.0      
Employer matching contribution, percent of match             50.00% 50.00%          
Employer matching contribution, maximum, percent of employees' gross pay             6.00% 6.00%          
Pension plan | Foreign Plan                          
Defined Contribution Plan Disclosure [Line Items]                          
Number of Employees in UK Pension Scheme | employee                         1,909
Employer contributions             £ 1.1 $ 1.4 10.4   £ 16.1 $ 21.5  
Actuarial gain £ 53.3 $ 72.9           0.0 (29.5)        
Pension settlement loss     $ (0.2) (0.9) $ (0.9) $ (131.9)   (0.2) (133.7) 0.0      
Accumulated benefit obligation       $ 1.6       0.0 1.6        
Other Pension, Postretirement and Supplemental Plans                          
Defined Contribution Plan Disclosure [Line Items]                          
Defined Contribution Plan, Employer Discretionary Contribution Amount               $ 5.4 $ 1.7 $ 2.2