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Vanguard Long-Term Treasury Index Fund Annual Fund Operating Expenses - Institutional Prospectus [Member] - Vanguard Long-Term Treasury Index Fund - Institutional Shares
Aug. 31, 2025
Prospectus [Line Items]  
Management Fees (as a percentage of Assets) 0.03%
Distribution and Service (12b-1) Fees 0.00%
Other Expenses (as a percentage of Assets): 0.00%
Expenses (as a percentage of Assets) 0.03% [1]
[1] The expense information shown in the table has been restated to reflect current fees.