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Accounts receivable, net - Rollforward of Allowance for Credit Losses (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jul. 31, 2021
Aug. 01, 2020
Jul. 31, 2021
Aug. 01, 2020
Financing Receivable, Allowance for Credit Loss [Roll Forward]        
Balance at beginning of period $ 21.4 $ 0.0 $ 25.5 $ 0.0
Provision for credit losses 0.8 7.1 (0.4) 7.1
Write-offs (2.6) 0.0 (5.5) 0.0
Reversal of allowance on receivables sold (19.6) 0.0 (19.6) 0.0
Balance at end of period $ 0.0 $ 7.1 $ 0.0 $ 7.1