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Vanguard SP Mid-Cap 400 Value Index Fund Average Annual Total Returns - Institutional Prospectus [Member]
12 Months Ended 60 Months Ended 69 Months Ended 118 Months Ended 120 Months Ended
Dec. 31, 2024
Dec. 31, 2024
Dec. 31, 2024
Dec. 31, 2024
Dec. 31, 2024
S&P MidCap 400 Value Index (reflects no deduction for fees, expenses, or taxes)[Member]          
Prospectus [Line Items]          
Average Annual Return, Percent 11.71% 10.21%     9.13%
Dow Jones U.S. Total Stock Market Float Adjusted Index (reflects no deduction for fees, expenses, or taxes)[Member]          
Prospectus [Line Items]          
Average Annual Return, Percent 23.88% 13.78% 14.20% 12.36% 12.48%
Institutional Shares          
Prospectus [Line Items]          
Average Annual Return, Percent 11.65% 10.16%     9.08%
Institutional Shares | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Percent 11.15% 9.60%     8.57%
Institutional Shares | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Percent 7.21% 7.94%     7.29%