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Income Taxes (Details) - USD ($)
$ in Millions
9 Months Ended
Oct. 31, 2020
Nov. 02, 2019
Feb. 01, 2020
Operating Loss Carryforwards [Line Items]      
Effective income tax rate (as a percent) 8.80% 35.70%  
Valuation allowance due to cumulative net operating losses $ 4.9    
Tax benefit due to deferred tax rate change related to net operating loss carrybacks 4.6    
Aggregate accruals for uncertain tax positions, including penalties and interest 36.1   $ 34.0
Other long-term liabilities      
Operating Loss Carryforwards [Line Items]      
Transition tax liability $ 19.9   $ 19.9