Description
Return inverse=1/ratio and gapPercentagePoints=100*(inverse-ratio), requiring nonzero ratio.
A ratio compares quantities under a stated numerator and denominator. Fractions, percentage numerals, and percentage-point changes use different conventions, and changing a part can also change its whole. Unit consistency, zero denominators, rounding, and the order of adjustments determine the result.
Return inverse=1/ratio and gapPercentagePoints=100*(inverse-ratio), requiring nonzero ratio.
When to use this tool
Use Ratio Inversion Percentage Point Gap when you need this specific ratio, allocation, transformation, interval, or adjustment-order calculation with an explicit base.
How to use the tool and how it works
- Enter ratio. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read inverse, gapPercentagePoints. Use the output convention below.
Return inverse=1/ratio and gapPercentagePoints=100*(inverse-ratio), requiring nonzero ratio.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| ratio | Ratio under the stated units and direction. | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| inverse | Inverse | Required. Finite number. |
| gapPercentagePoints | 100 times inverse minus original ratio, meaningful as points only for share-style inputs. | Required. Finite number. |
{
"input": {
"ratio": 2
},
"output": {
"inverse": 0.5,
"gapPercentagePoints": -150
}
}Limitations and assumptions
- This is a signed arithmetic comparison of a ratio and its reciprocal. The percentage-point label assumes ratio inputs represent fractional shares; arbitrary dimensional ratios need a separate interpretation.
- The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.
Alternative or Complementary methods
Check numerator, denominator, units, and adjustment order before comparing results. Use a complete allocation or physical mixture model when a single arithmetic term leaves relevant constraints unspecified.
References
Similar or alternative tools
- Percentage Vs Percentage Point Difference Label
Return percentagePoints=afterPercent-beforePercent and relativePercent=100*percentagePoints/beforePercent when the baseline is nonzero.
- Percentage Roundtrip Asymmetry Gap
Calculate reverseFraction=-fraction/(1+fraction) and sum=fraction+reverseFraction, requiring fraction greater than minus one.