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Commitments and contingencies (Details)
$ in Millions
3 Months Ended 6 Months Ended 12 Months Ended
Jun. 17, 2020
claim
Mar. 16, 2020
action
Aug. 01, 2016
plaintiff
Feb. 02, 2015
plaintiff
Jan. 28, 2023
USD ($)
Aug. 01, 2020
USD ($)
Feb. 01, 2020
USD ($)
Jul. 29, 2023
USD ($)
Jan. 28, 2023
USD ($)
Jan. 29, 2022
USD ($)
Jan. 30, 2021
USD ($)
Loss Contingencies [Line Items]                      
Capital commitments related to expansion and renovation of stores         $ 107.0       $ 107.0 $ 18.2  
Litigation settlement, expense                 203.8 1.7 $ 7.5
Equal Pay Act Collective Action                      
Loss Contingencies [Line Items]                      
Number of plaintiffs | plaintiff     9,124 70,000              
Litigation settlement, expense                 $ 187.9    
Equal Pay Act Collective Action | Scenario, Forecast                      
Loss Contingencies [Line Items]                      
Payments for legal settlements               $ 175.0      
Shareholder Actions                      
Loss Contingencies [Line Items]                      
Payments for legal settlements           $ 35.0          
Litigation settlement, expense                   $ (1.7) $ (7.5)
Insurance recoveries             $ 207.4        
Litigation settlement, amount awarded to other party           $ 240.0          
Loss contingency, new claims filed, number 4 4                  
Other Matters                      
Loss Contingencies [Line Items]                      
Litigation settlement, expense         $ 15.9            
Other Operating Income (Expense) | Shareholder Actions                      
Loss Contingencies [Line Items]                      
Litigation settlement, expense             (33.2)        
Litigation administration costs             $ 0.6