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Shareholder Report, Average Annual Return (Details)
12 Months Ended 56 Months Ended 60 Months Ended 120 Months Ended
Dec. 31, 2024
Dec. 31, 2024
Dec. 31, 2024
Dec. 31, 2024
C000193015        
Average Annual Return [Line Items]        
Line Graph and Table Measure Name Value Line Select Growth Fund, Inc.-Institutional Class      
C000020639        
Average Annual Return [Line Items]        
Line Graph and Table Measure Name Value Line Select Growth Fund, Inc.-Investor Class      
Without Sales Load [Member] | C000193015        
Average Annual Return [Line Items]        
Average Annual Return, Percent 12.49% 15.09%    
Without Sales Load [Member] | C000020639        
Average Annual Return [Line Items]        
Average Annual Return, Percent 12.20%   12.27% 12.48%
VALUELINE INDEX: S&P 500®        
Average Annual Return [Line Items]        
Line Graph and Table Measure Name S&P 500<sup style="box-sizing: border-box; color: rgb(0, 0, 0); display: inline; flex-wrap: nowrap; font-size: 12px; font-weight: 700; grid-area: auto; line-height: 0px; margin: 0px; overflow: visible; position: relative; text-align: center;">®</sup> Index      
Average Annual Return, Percent 25.02% 17.82%    
VALUELINE INDEX: S&P 500®        
Average Annual Return [Line Items]        
Line Graph and Table Measure Name S&P 500<sup style="box-sizing: border-box; color: rgb(0, 0, 0); display: inline; flex-wrap: nowrap; font-size: 12px; font-weight: 700; grid-area: auto; line-height: 0px; margin: 0px; overflow: visible; position: relative; text-align: center;">®</sup> Index      
Average Annual Return, Percent 25.02%   14.53% 13.10%