Tally to percentage calculator · Free · No sign-up
Tally to Percentage Calculator
A tally to percentage calculator divides each category’s count by the total and multiplies by 100. This one also gives the fraction, decimal and pie-chart angle, draws the tally marks, rounds the percentages so they add to exactly 100, and lets you choose the total: everything counted, all but one answer, or the people asked.
11 of 29 is 37.9%; four shares rounded one by one can add to 101%.
| Category | Tally | Frequency | Fraction | Decimal | Percent | Pie angle |
|---|---|---|---|---|---|---|
| Apple | ||||⁄ ||||⁄ | | 11 | 11/29 | 0.379 | 38% | 137° |
| Banana | ||||⁄ ||| | 8 | 8/29 | 0.276 | 27% | 99° |
| Orange | ||||⁄ | | 6 | 6/29 | 0.207 | 21% | 74° |
| Pear | |||| | 4 | 4/29 | 0.138 | 14% | 50° |
| Total | 29 | 29/29 | 1.000 | 100% | 360° |
The figures above are an example: replace them with yours. Worked out in this browser and kept there. To make the tally itself, use the tally counter, or the multi counter for several categories at once.
Type the count for each category, or paste the answers and let it count them. Every row comes back as a fraction, a decimal, a percentage and a pie-chart angle, rounded so the column adds up.
A tally chart records a count for each category as tally marks. Its relative frequency is each count divided by the total, written as a fraction, a decimal or a percentage; the relative frequencies of one tally add up to 1, or 100%.
- No sign-up
- Nothing sent anywhere
- Adds to 100
- Works offline
- Shows its working
Key facts
| Detail | Answer |
|---|---|
| Price | Free, no sign-up, nothing to install |
| Input | Counts for up to 20 categories, or a pasted list of answers, one per line or comma-separated |
| Each row gives | Tally marks, frequency, fraction, decimal, percentage and pie-chart angle |
| Rounding | 0, 1 or 2 decimal places, rounded to add to 100 (largest remainder) or each on its own |
| Total | Everything counted, everything except one category, or a number you enter |
| More answers than people | Each share shown on its own, adding to more than 100, with no pie angles |
| Small samples | Optional 95% Wilson score range per category |
| Where figures are kept | This browser only |
How to turn a tally into percentages
Enter the counts, choose the total, and read the table.
Enter the tally
Type a name and a count for each category, or choose Paste a list and paste the answers from a form or spreadsheet, one per line.
Choose the total
Everything counted for shares of the answers, everything except one category to leave out don’t know or rejected ballots, or a number you enter such as the people asked.
Pick the decimal places
Whole numbers for a chart or a talk, one or two places for a report.
Decide on rounding
Leave Make the rounded figures add to 100 ticked when the column must total 100; untick it to round each figure on its own.
Read the table
Each row has its fraction, decimal, percentage and pie-chart angle; the total row shows what the column adds to.
Copy it out
Copy the table pastes into a spreadsheet as columns, ready for a chart.
Who turns tallies into percentages
Anyone who has counted things in categories and needs the shares.
Pupils and teachers
A tally chart homework taken to relative frequency and pie-chart angles, with the working checkable line by line.
Surveys and polls
Answers pasted from a form export, counted, and shown as shares of the people asked rather than of the answers.
Club and school elections
Each candidate’s share of the valid votes, with spoilt ballots left out of the total and shown on their own row.
Traffic and wildlife counts
Vehicles by type at a junction or birds by species on a walk, as percentages that add up for a report.
Quality checks
Faults by cause from a tally sheet on the line, rounded so the column totals 100.
Feedback cards
Ratings from a box of comment cards turned into a split that can be put on a slide.
Why rounded percentages add up to 99 or 101, and the fix
Twenty-nine pupils name a favourite fruit: 11 apple, 8 banana, 6 orange, 4 pear. As percentages those are 37.93, 27.59, 20.69 and 13.79, which add to exactly 100. Round each one to a whole number on its own, as every percentage calculator in the search results does, and you get 38, 28, 21 and 14, which add to 101. Nothing was miscalculated; four small rounding errors happened to point the same way. It is the commonest question about results tables, and survey software answers it with a footnote: “Due to rounding, percentages may not always appear to add up to 100%” (SurveyMonkey Help, “Percentages Don’t Add Up to 100%”).
| Fruit | Count | Exact | Rounded on its own | Largest remainder |
|---|---|---|---|---|
| Apple | 11 | 37.93% | 38% | 38% |
| Banana | 8 | 27.59% | 28% | 27% |
| Orange | 6 | 20.69% | 21% | 21% |
| Pear | 4 | 13.79% | 14% | 14% |
| Total | 29 | 100.00% | 101% | 100% |
When the figures must add up, for a pie chart, a budget split or a table a reader will total, the calculator rounds by the largest remainder method, the rule that also shares out seats in some proportional elections:
Round every share down: 37, 27, 20 and 13, which make 97.
Count the points still missing: 3.
Give one each to the shares that lost the most in step 1: apple (.93), pear (.79) and orange (.69). Banana (.59) stays at 27.
No figure moves by more than one step of its last decimal place, and the total is exact. The price is that one figure, banana here, is shown as 27 although 27.59 is nearer 28. Where each figure must be the nearest one, leave “Make the rounded figures add to 100” unticked and the board tells you what the plain total comes to; adding a decimal place usually closes the gap, as it does here (37.9 + 27.6 + 20.7 + 13.8 = 100.0).
| Tally | Exact shares | Rounded on its own | Rounded to add to 100 |
|---|---|---|---|
| Three equal answers | 33.33 + 33.33 + 33.33 | 33 + 33 + 33 = 99% | 34 + 33 + 33 |
| The same, to one decimal place | 33.33 + 33.33 + 33.33 | 33.3 + 33.3 + 33.3 = 99.9% | 33.4 + 33.3 + 33.3 |
| Seven answers: 2, 2, 2 and 1 | 28.57 + 28.57 + 28.57 + 14.29 | 29 + 29 + 29 + 14 = 101% | 29 + 29 + 28 + 14 |
| 21 answers: 5, 5, 5 and 6 | 23.81 + 23.81 + 23.81 + 28.57 | 24 + 24 + 24 + 29 = 101% | 24 + 24 + 24 + 28 |
Two details in that table are worth knowing. With a tie, someone has to get the spare point: the calculator gives it to the bigger count, then to the row higher in your list, so three equal answers come out 34, 33, 33. And with 5, 5, 5 and 6, the largest share is the one rounded down, because its remainder (.57) is the smallest. That is correct for the method, and it is the reason to show the exact figures alongside whenever the order of two close shares matters.
Percent of what? Choosing the total
A percentage is a count divided by a total, and the total is a choice. The same tally gives different, equally correct percentages depending on what you divide by, so the first thing to decide is the question the percentage answers. In a class of 30 where 29 pupils gave a fruit, apple’s 11 are 37.9% of the answers and 36.7% of the class.
| The question | Divide by | In the calculator |
|---|---|---|
| What share of the answers went to each option? | Every answer counted | Everything counted |
| What share of the people asked chose each option? | Everyone asked, including those who did not answer | A total I enter; the gap is shown as “Not recorded” |
| Among people with a view, how did they split? | Every answer except “don’t know” | Everything except one category |
| What share of the vote did each candidate get? | Valid votes, without rejected ballots | Everything except one category, leaving out the rejected row |
| How many people ticked each box? | The people who answered, not the ticks | A total I enter, smaller than the tally |
Votes. Election offices state their total, and it is usually the valid ballots. Élections Québec’s results pages give each candidate’s percentage as their valid ballots divided by the total valid ballots; the votes cast are the valid ballots plus the rejected ones, and turnout is the votes cast divided by the registered electors. Three totals, three different percentages from the same count, and a club or school election should say which it used before the result is read out.
Pick-all-that-apply questions. If 30 people may tick as many of four boxes as they like and tick 45 in all, then 18 ticks for the first box is 60% of the people, and the four shares add to 150%. Each figure is right; they are not parts of one whole, as SurveyMonkey Help, “Percentages Don’t Add Up to 100%” explains for checkbox questions. Enter 30 as the total and the calculator reports each share on its own, does not force them to 100, and gives no pie angles, because a pie chart of them would be wrong.
Missing answers. A tally that falls short of the number of people asked is information. The tally counter’s worked chart reaches 29 in a class of 30, which means one response was missed or one mark was lost. Enter 30 as the total and that gap appears as its own row, so the percentages describe the class rather than quietly describing the 29.
Pie chart angles from a tally chart
A pie chart drawn from a tally needs one angle per category, and the angle is the category’s share of 360 degrees. The quick way, the one taught for GCSE and Key Stage 3, is to work out what one item is worth first: 360 ÷ the total. With 30 answers each one is 12°, so a frequency of 8 is 96°. With 29 answers each one is 12.41°, which is why the fruit tally has no whole-number angles.
| Fruit | Frequency | Working | Exact angle | To the degree |
|---|---|---|---|---|
| Apple | 11 | 11 × 360 ÷ 29 | 136.55° | 137° |
| Banana | 8 | 8 × 360 ÷ 29 | 99.31° | 99° |
| Orange | 6 | 6 × 360 ÷ 29 | 74.48° | 74° |
| Pear | 4 | 4 × 360 ÷ 29 | 49.66° | 50° |
| Total | 29 | 360.00° | 360° |
Always check that the angles add up to 360 before drawing. Rounded angles can make 359 or 361, for the same reason rounded percentages make 99 or 101, and the calculator’s “add to 100” setting rounds the angles the same way so the last sector closes the circle. Draw the largest sector first from a vertical radius, and label each sector with the category and its percentage, not the angle.
Two cases have no pie chart. A pick-all-that-apply tally, whose shares add to more than 100%, is not one whole, so the calculator shows no angles for it; use a bar chart. And a category with a frequency of 0 has an angle of 0° and no sector, which a key should still mention if the option was offered.
How much a percentage from a small tally is worth
Two of five and 200 of 500 are both 40%, and they are not the same finding. When the tally is a sample, a few people standing for a larger group, a percentage from a small count could easily have come out very differently with a different few. Tick “Show the 95% range” and the table adds, for each category, the range a sample like yours is consistent with.
| Tally | Share | 95% range |
|---|---|---|
| 2 of 5 | 40% | 12% to 77% |
| 20 of 50 | 40% | 28% to 54% |
| 200 of 500 | 40% | 36% to 44% |
The range is the Wilson score interval (E. B. Wilson, 1927), the one the free throw counter uses, because the familiar plus-or-minus formula misbehaves at small counts and near 0 and 100%; Brown, Cai and DasGupta’s 2001 review in Statistical Science recommends Wilson for exactly that reason.
It applies only to a sample. A count of everyone, every pupil in the class or every ballot in the box, has no sampling error: 11 of 29 is simply what happened. And a sample of whoever was convenient, the people who passed a stall, describes those people and not a wider group, however narrow the range. The yes/no counter’s notes on what a percentage is worth and the guide to how many people to survey go further into both.
What this calculator does not do
The calculator turns counts in categories into shares of a total you choose. It does not:
| It does | It does not |
|---|---|
| Give each count as a fraction, decimal, percentage and pie angle | Count while you tally: the tally counter and multi counter do that |
| Round so the figures add to 100 and 360, or show plain rounding | Decide which total is right for your question: the table above helps |
| Count a pasted list, ignoring capitals and extra spaces | Merge spellings that differ in letters, such as “Aple”: edit them as counts |
| Show a 95% range for a sample | Weight a survey, or test whether two groups differ |
| Keep your figures in this browser | Send them anywhere |
Calculator, percentage tool, vote calculator or spreadsheet
Four ways to turn a tally into percentages, and where each one stops.
| This calculator | A percentage calculator | A vote percentage calculator | A spreadsheet | |
|---|---|---|---|---|
| Cost | Free, no sign-up | Free | Free | Free or paid |
| Every category at once | Up to 20, or a pasted list | One pair at a time | Yes | Yes, with formulas |
| Rounded figures add to 100 | Yes, or says when they do not | No | No | Only if you build it |
| Choice of total | All, all but one, or your own | You type it | Sometimes a ballots-cast box | Yes |
| Fraction, decimal and pie angle | All three | No | No | With formulas |
| Tally marks drawn | Yes | No | No | No |
| Account needed | No | No | No | Often |
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Frequently asked questions
How do you work out the percentage from a tally chart?
Count the marks in each row to get its frequency, add the frequencies for the total, then divide each frequency by the total and multiply by 100. With 11 of 29 pupils choosing apple, 11 ÷ 29 × 100 = 37.9%. The calculator does every row at once and checks that the rounded figures still add to 100.
Why don't my percentages add up to 100?
Because each one was rounded on its own. Three equal shares are 33.3% each, and three 33s make 99; four shares of 29 answers rounded to whole numbers can make 101. The figures are not wrong, but a column that should total 100 does not. Tick Make the rounded figures add to 100 and the calculator rounds by largest remainder, moving no figure by more than one.
How do you work out pie chart angles from a frequency table?
Divide 360 by the total to get the degrees for one item, then multiply by each frequency. For 30 answers each is 12°, so a frequency of 8 is 96°. For 29 answers each is 12.41°, and 11 of them make 136.55°. Check the angles add up to 360, because rounded angles can miss by a degree.
How do you calculate relative frequency?
Divide a category’s frequency by the total frequency. 11 of 29 is a relative frequency of 11/29, which is 0.379 as a decimal and 37.9% as a percentage. The relative frequencies of every category in one tally add up to 1. The calculator shows all three forms side by side, so you can use the one your worksheet asks for.
How do you calculate the percentage of votes?
Divide each candidate’s votes by the total valid votes and multiply by 100. Rejected or spoilt ballots are usually left out of that total and reported against the votes cast instead, which is how Élections Québec states its method. Enter the ballots, choose Everything except one category, and pick the rejected row to leave it out.
Why do survey percentages add up to more than 100%?
Because the question let people choose more than one answer. Thirty people ticking 45 boxes give a share of the 30 for each option, and those shares add to 150%. Each figure is right; they are simply not parts of one whole. Enter the number of people as the total and the calculator reports them that way, without forcing them to 100.
Should don't know answers be included in the percentage?
It depends what you want to say. Including them gives each answer’s share of everyone who replied; leaving them out gives the split among people with a view, and every other figure rises. Neither is wrong, but say which you used. The calculator does both: Everything counted, or Everything except one category with don’t know left out.
What is the difference between frequency and relative frequency?
Frequency is how many times something was counted: the number of tally marks in a row. Relative frequency is that number as a share of the total, written as a fraction, a decimal or a percentage. A frequency of 6 in a tally of 29 is a relative frequency of 6/29, or 0.207, or 20.7%.
How accurate is a percentage from a small tally?
Less accurate than it looks. If 2 of 5 people in a sample said yes, the 95% range runs from about 12% to 77%; 200 of 500 narrows it to 36% to 44%. That range applies only when the tally is a random sample of a bigger group, not a count of everyone. Tick Show the 95% range to add it to the table.
Can I paste a list of answers and have it counted?
Yes. Choose Paste a list and paste a column from a spreadsheet or form export, one answer per line, or type answers separated by commas. Answers are matched ignoring capitals and extra spaces, so Apple and apple count together. Then choose Edit these as counts to merge spelling variants by hand, and the table updates as you go.
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