{
  "id": "basis-point",
  "version": "f067accefc13",
  "status": "published",
  "name": "Basis Point Calculator",
  "question": "How many basis points?",
  "summary": "Converts a rate between percent, decimal, basis points (1 bp = 0.01%) and permille (1‰ = 0.1%).",
  "category": "finance",
  "subcategory": "investing",
  "url": "https://www.acalculator.org/finance/basis-point-calculator",
  "markdown": "https://www.acalculator.org/finance/basis-point-calculator.md",
  "kind": "formulas",
  "method": "1% = 0.01 = 100 bp = 10‰: decimal = % ÷ 100, bp = % × 100, ‰ = % × 10.",
  "assumptions": [
    "One basis point is one hundredth of a percent (0.01%). One permille is one tenth of a percent (0.1%)."
  ],
  "inputs": {
    "$schema": "https://json-schema.org/draft/2020-12/schema",
    "type": "object",
    "properties": {
      "percent": {
        "title": "Percent",
        "description": "The rate in percent (1.5 means 1.5%).",
        "type": "number",
        "x-unit": "percent"
      },
      "basisPoints": {
        "title": "Basis points",
        "description": "The rate in basis points: one basis point is 0.01%, so 100 bp is 1%.",
        "type": "number"
      },
      "decimalValue": {
        "title": "Decimal",
        "description": "The rate as a decimal fraction (0.015 is 1.5%).",
        "type": "number"
      },
      "perMille": {
        "title": "Permille",
        "description": "The rate per thousand: 1‰ is 0.1%.",
        "type": "number"
      }
    }
  },
  "solve": {
    "fillAny": 1,
    "variables": [
      "percent",
      "basisPoints",
      "decimalValue",
      "perMille"
    ],
    "inputsOnly": []
  },
  "outputs": {
    "percent": {
      "label": "Percent",
      "description": "The rate in percent (1.5 means 1.5%).",
      "format": "percent"
    },
    "bp": {
      "label": "Basis points",
      "description": "The rate in basis points: one basis point is 0.01%, so 100 bp is 1%.",
      "format": "number"
    },
    "decimal": {
      "label": "Decimal",
      "description": "The rate as a decimal fraction (0.015 is 1.5%).",
      "format": "number"
    },
    "permille": {
      "label": "Permille",
      "description": "The rate per thousand: 1‰ is 0.1%.",
      "format": "number"
    }
  },
  "defaultAnswer": {
    "inputs": {
      "percent": 1.5
    },
    "outputs": {
      "bp": 150,
      "decimal": 0.015,
      "permille": 15
    },
    "text": "1.5% is 150 basis points, 0.015 as a decimal, and 15 per mille."
  },
  "examples": [
    {
      "given": {
        "percent": 1.5
      },
      "expect": {
        "decimalValue": 0.015,
        "basisPoints": 150,
        "perMille": 15
      },
      "source": "hand calculation in content.mdx: 1.5 ÷ 100 = 0.015; 1.5 × 100 = 150 bp; 1.5 × 10 = 15‰; Basis point, one one-hundredth of a percentage point: U.S. Securities and Exchange Commission, Investor.gov glossary, \"Basis point\". https://www.investor.gov/introduction-investing/investing-basics/glossary/basis-point"
    },
    {
      "given": {
        "basisPoints": 25
      },
      "expect": {
        "percent": 0.25,
        "decimalValue": 0.0025,
        "perMille": 2.5
      },
      "source": "hand calculation in content.mdx: 25 ÷ 100 = 0.25%; Basis point, one one-hundredth of a percentage point: U.S. Securities and Exchange Commission, Investor.gov glossary, \"Basis point\". https://www.investor.gov/introduction-investing/investing-basics/glossary/basis-point"
    },
    {
      "given": {
        "decimalValue": 0.015
      },
      "expect": {
        "basisPoints": 150,
        "percent": 1.5
      },
      "source": "old page FAQ: 0.015 × 10,000 = 150 basis points; hand calculation in content.mdx; Basis point, one one-hundredth of a percentage point: U.S. Securities and Exchange Commission, Investor.gov glossary, \"Basis point\". https://www.investor.gov/introduction-investing/investing-basics/glossary/basis-point"
    },
    {
      "given": {
        "basisPoints": 225
      },
      "expect": {
        "percent": 2.25
      },
      "source": "old page FAQ: 5.25% − 3.00% = 2.25% = 225 basis points; Basis point, one one-hundredth of a percentage point: U.S. Securities and Exchange Commission, Investor.gov glossary, \"Basis point\". https://www.investor.gov/introduction-investing/investing-basics/glossary/basis-point"
    },
    {
      "given": {
        "percent": -0.75
      },
      "expect": {
        "basisPoints": -75,
        "perMille": -7.5
      },
      "source": "hand calculation in content.mdx: −0.75 × 100 = −75 bp; Basis point, one one-hundredth of a percentage point: U.S. Securities and Exchange Commission, Investor.gov glossary, \"Basis point\". https://www.investor.gov/introduction-investing/investing-basics/glossary/basis-point"
    }
  ],
  "sources": [
    "Basis point, one one-hundredth of a percentage point: U.S. Securities and Exchange Commission, Investor.gov glossary, \"Basis point\". https://www.investor.gov/introduction-investing/investing-basics/glossary/basis-point"
  ],
  "related": [
    "percentage",
    "compound-interest"
  ],
  "changelog": [
    {
      "date": "2026-09-29",
      "note": "The headline is the basis points, the answer the H1 asks for; the form lists basis points second (user test 2026-09-29)."
    },
    {
      "date": "2026-09-29",
      "note": "Worked examples name a published reference for their rule."
    }
  ]
}