Vanguard Inflation-Protected Securities Fund Expense Example - Institutional Prospectus [Member] - Vanguard Inflation-Protected Securities Fund - Institutional Shares	Dec. 31, 2025 USD ($)
Prospectus [Line Items]
Expense Example, with Redemption, 1 Year	$ 7
Expense Example, with Redemption, 3 Years	23
Expense Example, with Redemption, 5 Years	40
Expense Example, with Redemption, 10 Years	$ 90

Reference 1: http://www.xbrl.org/2003/role/presentationRef
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