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Income Taxes (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 6 Months Ended
Jul. 31, 2022
Jul. 31, 2022
Aug. 01, 2021
Jul. 31, 2022
Aug. 01, 2021
Jul. 29, 2022
Jan. 30, 2022
Income Taxes [Line Items]              
Effective tax rate (percent)   17.30% 24.60% 17.60% 20.10%    
Percent of Company realized tax benefits payable to Limited Partners pursuant to Tax Receivable Agreements 85.00% 85.00%   85.00%      
Pro forma tax rate per agreements (percent) 25.10% 25.10%   25.10%      
Former Limited Partners              
Income Taxes [Line Items]              
Payable to related parties pursuant to Tax Receivable Agreements $ 92 $ 92   $ 92     $ 92
Current payable to related parties pursuant to Tax Receivable Agreements 6 6   6      
Continuing Limited Partners              
Income Taxes [Line Items]              
Payable to related parties pursuant to Tax Receivable Agreements 62 62   62     $ 61
Estimated deferred tax asset target per agreement 629 629   629      
Estimated tax liability per agreement 535 $ 535   $ 535      
Estimated increase in deferred tax liability due to exchange of Partnership Interests $ 151            
Class A Common Stock              
Income Taxes [Line Items]              
Closing stock price (in dollars per share)           $ 24.14