{
  "schema": "vedokrok.public-item.v1",
  "release_id": "MHC-RPUB-20260920-75ad787a",
  "url": "/knowledge/separate-percentage-points-from-percentage-change",
  "id": "MHC-D-RESEARCH-0245",
  "version": "0.1.0",
  "title": "Separate percentage points from percentage change",
  "summary": "Two extra points and twenty percent more can describe the same movement.",
  "kind": "concept",
  "body": "Subtract rates to obtain a percentage-point difference. Divide that difference by the original rate to obtain relative percentage change. Label the measure instead of leaving the reader to guess which denominator was used.",
  "limits": [
    "Relative change from zero is undefined; a different description is needed for that case."
  ],
  "topics": [
    "union-numerical-reasoning"
  ],
  "intents": [],
  "source_ids": [
    "RS-767005552D5DD114"
  ],
  "evidence": [
    {
      "claim": "Relative percentage change divides the change by the original value; subtracting two percentage values instead gives a percentage-point difference.",
      "source_id": "RS-767005552D5DD114",
      "role": "supports",
      "note": "Relative change is undefined from a zero baseline and can be difficult to interpret with negative baselines.",
      "locator": "Percent increase and decrease formula; independently derived application to percentage values"
    }
  ],
  "use_when": [
    "A rate changes and two descriptions of the increase appear to disagree."
  ],
  "avoid_when": [
    "Relative change from zero is undefined; a different description is needed for that case."
  ],
  "example": "A rate rising from 10% to 12% rises by 2 percentage points, or 20% relative to its original value.",
  "check": "The stated number and its label describe the same calculation.",
  "sources": [
    {
      "id": "RS-767005552D5DD114",
      "title": "Prealgebra 2e, 6.2: Solve General Applications of Percent",
      "url": "https://openstax.org/books/prealgebra-2e/pages/6-2-solve-general-applications-of-percent"
    }
  ],
  "relations": [
    {
      "from": "MHC-D-RESEARCH-0245",
      "to": "MHC-D-RESEARCH-0246",
      "type": "useful_with",
      "url": "/knowledge/multiply-successive-percentage-changes"
    }
  ],
  "collections": [
    {
      "id": "RC-D976097B2A42D9AC",
      "title": "Make the numbers answer the right question",
      "url": "/collections/make-the-numbers-answer-the-right-question"
    }
  ]
}