Description
Signed noncommutativity of subtracting a fixed fee and applying a retained share.
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.
Signed noncommutativity of subtracting a fixed fee and applying a retained share.
When to use this tool
Use Retained Share Fee Order Cross Term 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 gross, retainedFraction, fee. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read shareThenFee, feeThenShare, difference. Use the output convention below.
Compare shareThenFee=gross*retainedFraction-fee with feeThenShare=(gross-fee)*retainedFraction and return difference=-fee*(1-retainedFraction). Require nonnegative amounts and bounded retained fraction.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| gross | Gross | Required. Finite number; minimum 0. |
| retainedFraction | Retained Fraction | Required. Finite number; minimum 0; maximum 1. |
| fee | Fee | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| shareThenFee | Share Then Fee | Required. Finite number. |
| feeThenShare | Fee Then Share | Required. Finite number. |
| difference | Difference | Required. Finite number. |
{
"input": {
"gross": 100,
"retainedFraction": 0.8,
"fee": 10
},
"output": {
"shareThenFee": 70,
"feeThenShare": 72,
"difference": -1.9999999999999996
}
}Limitations and assumptions
- Difference is first ordering minus second and outputs may be negative. The tool does not select contractual fee ordering, calculate taxes, or determine payment rights or currency rounding.
- 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
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