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Income Taxes (Details) - USD ($)
3 Months Ended 6 Months Ended
Aug. 01, 2021
Aug. 01, 2021
Aug. 02, 2020
Aug. 01, 2021
Aug. 02, 2020
Jul. 30, 2021
Jan. 31, 2021
Mar. 11, 2020
Income Taxes [Line Items]                
Effective tax rate (percent)   24.60% 26.10% 20.10% 25.50%      
Valuation allowance against deferred tax assets $ 0 $ 0   $ 0        
Percent of Company realized tax benefits payable to Limited Partners pursuant to Tax Receivable Agreements 85.00% 85.00%   85.00%        
Payable to related parties pursuant to Tax Receivable Agreements $ 88,600,000 $ 88,600,000   $ 88,600,000     $ 0  
Pro forma tax rate per agreements (percent) 25.10% 25.10%   25.10%        
Deferred tax liability associated partnership investment in Holdings $ 58,800,000 $ 58,800,000   $ 58,800,000        
Former Limited Partners                
Income Taxes [Line Items]                
Percent of Company realized tax benefits payable to Limited Partners pursuant to Tax Receivable Agreements 85.00% 85.00%   85.00%        
Payable to related parties pursuant to Tax Receivable Agreements $ 88,600,000 $ 88,600,000   $ 88,600,000        
Continuing Limited Partners                
Income Taxes [Line Items]                
Percent of Company realized tax benefits payable to Limited Partners pursuant to Tax Receivable Agreements 85.00% 85.00%   85.00%        
Payable to related parties pursuant to Tax Receivable Agreements $ 0 $ 0   $ 0        
Estimated deferred tax asset target per agreement 827,300,000 827,300,000   827,300,000        
Estimated tax liability per agreement 703,200,000 703,200,000   703,200,000        
Estimated increase in deferred tax liability due to exchange of Partnership Interests 84,500,000              
Class A common stock                
Income Taxes [Line Items]                
Closing stock price (in dollars per share)           $ 26.50    
R&B                
Income Taxes [Line Items]                
Recognition of deferred tax liabilities as part of purchase price allocation               $ 31,200,000
Deferred tax liability $ 30,800,000 $ 30,800,000   $ 30,800,000