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Income Taxes (Details) - USD ($)
$ in Millions
6 Months Ended
Jul. 31, 2021
Aug. 01, 2020
Jan. 30, 2021
Income Tax Contingency [Line Items]      
Effective income tax rate (as a percent) 23.30% (9.90%)  
Aggregate accruals for uncertain tax positions, including penalties and interest $ 42.6   $ 40.0
Other long-term liabilities      
Income Tax Contingency [Line Items]      
Transition tax liability $ 19.9   $ 19.9