{
  "cases": [
    {
      "id": "of-exact",
      "inputs": {
        "mode": "of",
        "p": "12.5",
        "x": "80"
      },
      "expected": {
        "mode": "of",
        "unit": null,
        "binary64_hex": "4024000000000000"
      },
      "source": "https://www.calculatorx.com/calc/math/percentage",
      "derivation": "12.5 × 80 / 100 = 10."
    },
    {
      "id": "of-negative",
      "inputs": {
        "mode": "of",
        "p": "-25",
        "x": "80"
      },
      "expected": {
        "mode": "of",
        "unit": null,
        "binary64_hex": "c034000000000000"
      },
      "source": "https://www.calculatorx.com/calc/math/percentage",
      "derivation": "−25 × 80 / 100 = −20."
    },
    {
      "id": "of-zero",
      "inputs": {
        "mode": "of",
        "p": "0",
        "x": "80"
      },
      "expected": {
        "mode": "of",
        "unit": null,
        "binary64_hex": "0000000000000000"
      },
      "source": "https://www.calculatorx.com/calc/math/percentage",
      "derivation": "0 × 80 / 100 = 0."
    },
    {
      "id": "part-as-percentage",
      "inputs": {
        "mode": "is-what",
        "x": "5",
        "y": "20"
      },
      "expected": {
        "mode": "is-what",
        "unit": "%",
        "binary64_hex": "4039000000000000"
      },
      "source": "https://www.calculatorx.com/calc/math/percentage",
      "derivation": "100 × 5 / 20 = 25 percent."
    },
    {
      "id": "part-as-repeating-percentage",
      "inputs": {
        "mode": "is-what",
        "x": "1",
        "y": "3"
      },
      "expected": {
        "mode": "is-what",
        "unit": "%",
        "binary64_hex": "4040aaaaaaaaaaab"
      },
      "source": "https://www.calculatorx.com/calc/math/percentage",
      "derivation": "100/3 rounds to the nearest binary64, 33.333333333333336."
    },
    {
      "id": "recover-whole",
      "inputs": {
        "mode": "of-what",
        "x": "30",
        "p": "25"
      },
      "expected": {
        "mode": "of-what",
        "unit": null,
        "binary64_hex": "405e000000000000"
      },
      "source": "https://www.calculatorx.com/calc/math/percentage",
      "derivation": "100 × 30 / 25 = 120."
    },
    {
      "id": "zero-whole",
      "inputs": {
        "mode": "is-what",
        "x": "5",
        "y": "0"
      },
      "expected": {
        "error": {
          "code": "DIVISION_BY_ZERO",
          "field": "y"
        }
      },
      "source": "https://www.calculatorx.com/calc/math/percentage",
      "derivation": "The denominator Y is zero."
    },
    {
      "id": "zero-rate",
      "inputs": {
        "mode": "of-what",
        "x": "30",
        "p": "0"
      },
      "expected": {
        "error": {
          "code": "DIVISION_BY_ZERO",
          "field": "p"
        }
      },
      "source": "https://www.calculatorx.com/calc/math/percentage",
      "derivation": "The denominator P is zero."
    },
    {
      "id": "over-one-hundred",
      "inputs": {
        "mode": "is-what",
        "x": "9",
        "y": "4"
      },
      "expected": {
        "mode": "is-what",
        "unit": "%",
        "binary64_hex": "406c200000000000"
      },
      "source": "https://www.calculatorx.com/calc/math/percentage",
      "derivation": "9/4 times 100 is exactly 225 percent."
    },
    {
      "id": "negative-whole",
      "inputs": {
        "mode": "of-what",
        "x": "-12.5",
        "p": "25"
      },
      "expected": {
        "mode": "of-what",
        "unit": null,
        "binary64_hex": "c049000000000000"
      },
      "source": "https://www.calculatorx.com/calc/math/percentage",
      "derivation": "-12.5 times 100 divided by 25 is exactly -50."
    }
  ]
}