THE NUMBERS, EXPLAINED
How to use this calculator.
Uses largest-remainder allocation in whole cents. Floor each ideal share, then assign leftover cents by descending fractional remainder; earlier list order breaks ties.
Start with your inputs
Enter gift amount in whole cents, agreed beneficiary weights. Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Gift amount in whole cents | 1000 |
| Agreed beneficiary weights | 1,1,1 |
A worked example
With the example inputs above, allocated gift by beneficiary (cents) is 334, 333, 333. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Allocated gift by beneficiary (cents) | 334, 333, 333 |
| Reconciled total (cents) | 1,000 |
How this is calculated
Allocated gift by beneficiary (cents)
Floor ideal weighted cent shares, then distribute remaining cents to the largest remainders.
Reconciled total (cents)
Whole-cent allocation preserves the original gift total.
Symbols and units
- a
- Gift amount in whole cents
- b
- Agreed beneficiary weights
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions and limits
Uses largest-remainder allocation in whole cents. Floor each ideal share, then assign leftover cents by descending fractional remainder; earlier list order breaks ties.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Allocated gift by beneficiary (cents); Reconciled total (cents). The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Uses largest-remainder allocation in whole cents. Floor each ideal share, then assign leftover cents by descending fractional remainder; earlier list order breaks ties.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Further reading
U.S. Census Bureau: Hamilton largest-remainder apportionment ↗
Background reading; this does not imply endorsement or independent review of SumFizz.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
Read the quality report →