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Revenue recognition - Narrative (Details) - Extended Service Plans and Lifetime Warranty Agreements - USD ($)
$ in Millions
12 Months Ended
Jan. 28, 2023
Jan. 29, 2022
Jan. 30, 2021
Disaggregation of Revenue [Line Items]      
Capitalized contract cost, amortization $ 43.7 $ 41.7 $ 26.3
North America      
Disaggregation of Revenue [Line Items]      
Revenue, performance obligation, description of timing 13 years