THE NUMBERS, EXPLAINED
How to use this calculator.
Apply each language factor to every source box, rounding expected character count upward per box. Counts include spaces if your source measurement does. This is a character-capacity estimate; real glyph widths, line breaks and font changes can alter fit.
Start with your inputs
Enter original character counts by text box, measured expansion factors by language, character capacities of the corresponding boxes. Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Original character counts by text box | 100,200 |
| Measured expansion factors by language | 1.2,1.5 |
| Character capacities of the corresponding boxes | 130,250 |
A worked example
With the example inputs above, estimated characters per language, by box is 120, 240; 150, 300. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Estimated characters per language, by box | 120, 240; 150, 300 |
| Overflow characters per language, by box | 0, 0; 20, 50 |
| Total overflow per language | 0, 70 |
How this is calculated
Estimated characters per language, by box
For each language, multiply every box character count by its expansion factor and round upward. Semicolons separate languages.
Overflow characters per language, by box
For each language and box: max(estimated count − box capacity, 0).
Total overflow per language
Sum box overflow separately for each language.
Symbols and units
- a
- Original character counts by text box
- b
- Measured expansion factors by language
- c
- Character capacities of the corresponding boxes
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
Apply each language factor to every source box, rounding expected character count upward per box. Counts include spaces if your source measurement does. This is a character-capacity estimate; real glyph widths, line breaks and font changes can alter fit.
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?
Estimated characters per language, by box; Overflow characters per language, by box; Total overflow per language. 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: Apply each language factor to every source box, rounding expected character count upward per box. Counts include spaces if your source measurement does. This is a character-capacity estimate; real glyph widths, line breaks and font changes can alter fit.
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
OpenStax: percentages and proportions ↗
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 →