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STOCK-BASED COMPENSATION - Schedule of fair value models for the PSUs use valuation assumptions (Details) - Barnes & Noble Education, Inc. - Performance Shares
6 Months Ended
Oct. 31, 2024
$ / shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Derived service period 1 year
Tranche #1  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Performance Milestone (VWAP) $ 10
Valuation method utilized us-gaap:MonteCarloModelMember
Risk-free interest rate 3.53%
Company volatility 120.00%
Grant date fair value per award $ 9.74
Tranche #2  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Performance Milestone (VWAP) $ 15
Valuation method utilized us-gaap:MonteCarloModelMember
Risk-free interest rate 3.53%
Company volatility 120.00%
Derived service period 2 years
Grant date fair value per award $ 9.62
Tranche #3  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Performance Milestone (VWAP) $ 20
Valuation method utilized us-gaap:MonteCarloModelMember
Risk-free interest rate 3.53%
Company volatility 120.00%
Derived service period 3 years
Grant date fair value per award $ 9.46