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Tennis Stats Calculator

Turn the counts from a tennis match into first-serve percentage, serve and return points won, break points converted and match win percentage.

Level: Grade 6

  • Common Core standard 6.RP.A.3.cFind a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
Printable worksheet

Tennis Stats Calculator

Inputs

Out of the points where the first serve missed. Double faults count as second-serve points lost.

Result

Service points won

67.1%

Landing 62.2% of first serves and winning 55 of 82 service points gives 67.1% of service points won.

First serves in
62.2%
First-serve points won
74.5%
Second-serve points won
54.8%
Break points converted
44.4%
Return points won
38.8%
Total points won
52.7%
Dominance ratio (return won % ÷ serve lost %)
1.18Above 1 means winning return points more often than losing service points.

See the step-by-step solution ↓

Step-by-step solution

  1. Divide first serves in by all service points to see how often the first serve lands

    5182×100=62.2%

  2. Every point where the first serve missed went to a second serve, double faults included

    82−51=31

  3. Add the points won on both serves and divide by all service points, to see how well the player holds serve

    38+1782×100=67.0732%

  4. Divide break points won by chances, to see how often a chance to win the opponent's service game pays off

    49×100=44.4444%

  5. Divide return points won by return points played, to see how well the player does against the opponent's serve

    3385×100=38.8235%

  6. Add serve and return points together, then divide points won by points played for the whole match

    55+3382+85×100=52.6946%

Test yourself

20 quick questions built from this calculator's formula: work out results, predict what happens when an input changes, and work backward from an answer. Every answer comes with the working.

What this calculator does

Turn the counts from a tennis match into the same percentages you see on TV stat sheets. Every televised match ends with a sheet of them: first serves in, points won behind each serve, break points converted. They tell you far more than the score about how a match was won. If you chart your own matches or a player you follow, this calculator turns the raw counts into the same figures.

Enter the service points, first serves in and points won on each serve. Add break points, return points and matches if you have them. The calculator shows each percentage with the working. It also gives the total points won and the dominance ratio. That's a single number comparing how well a player returns with how well they hold serve (win their own service games).

Where it's used

Why this math matters outside the classroom:

  • Charting a match. A coach records 51 first serves in out of 82 points and finds a first-serve percentage of 62.2%.
  • School team practice. A high-school player tracks second-serve points won, rising from 40% to 55% after working on a kick serve.
  • Watching on TV. Fans compare two players' break-point conversion, such as 4 of 9 (44.4%) against 1 of 6 (16.7%), after a close match.
  • Season records. A club player who won 15 of 20 league matches has a match win percentage of 75%.
  • Percent practice. Students turn a part and a whole, such as 38 of 51 points, into a percent: 38 ÷ 51 × 100 = 74.5%.

Grade level and standards: Grade 6; Common Core State Standards for Mathematics 6.RP.A.3.c. © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

How to use it

  1. Enter the number of points the player served and how many first serves went in.
  2. Enter the points won when the first serve went in, and the points won on a second serve.
  3. If you like, add break points won and chances, return points won and played, and matches won and played. Fill in both boxes of a pair, or neither.
  4. Read the percentage of service points won and the other figures underneath.

What the inputs mean

Service points played
Every point the player served, including double faults (two missed serves in a row, which loses the point).
First serves in
First serves that landed in, whatever happened next in the point.
Points won on the second serve
Points won after missing the first serve. A double fault counts as a second-serve point lost. So it's included in the total but not in the points won.
Break-point chances (optional)
Times the player was one point away from winning the opponent's service game. Each of those is a break point.
Return points played (optional)
Points the opponent served. Together with the service points, this gives total points played.

Formula and method

first-serve % = first serves in ÷ service points × 100
first-serve points won % = points won on first serve ÷ first serves in × 100
second-serve points won % = points won on second serve ÷ (service points − first serves in) × 100
service points won % = (first-serve points won + second-serve points won) ÷ service points × 100
break points converted % = break points won ÷ break-point chances × 100
dominance ratio = return points won % ÷ (100 − service points won %)

Each figure is a part divided by its whole, times 100. The key is using the right whole. First-serve points won is out of first serves that went in, not out of all service points. Second-serve points are all the points where the first serve missed, double faults included.

The dominance ratio compares how often a player wins points on return with how often they lose points on serve. A ratio of 1 means those rates are equal. Above 1, the player is doing better than an even match. Strong players are usually well above 1 over a season.

Worked example

An invented player, Ana Brightwater, served 82 points in a match and landed 51 first serves. She won 38 first-serve points and 17 second-serve points, converted 4 of 9 break points and won 33 of the 85 points she returned.

  1. First-serve percentage: 51 ÷ 82 × 100 = 62.2%.
  2. Points behind each serve: 38 ÷ 51 = 74.5% on the first serve; 82 − 51 = 31 second-serve points, of which 17 ÷ 31 = 54.8% were won.
  3. Service points won: (38 + 17) ÷ 82 × 100 = 67.1%.
  4. Break points: 4 ÷ 9 = 44.4%. Return points: 33 ÷ 85 = 38.8%. Total points: (55 + 33) ÷ (82 + 85) = 52.7%.
  5. Dominance ratio: 38.8 ÷ (100 − 67.1) = 1.18.

Result: Brightwater won 67.1% of her service points and 52.7% of all points, with a dominance ratio of 1.18.

Understanding the result

Winning a little over half of all points is often enough to win a match. That's because points are grouped into games and sets. A total points won figure of 52.7% usually comes with a win.

A big gap between first-serve and second-serve points won is common. If the second-serve figure is low, a player may gain more from a safer second serve than from a faster first one.

Assumptions and limitations

  • The counts all come from the same match or set of matches.
  • Double faults count as second-serve points lost, as on standard stat sheets.
  • Optional figures are worked out only when both numbers of a pair are entered.
  • These figures describe what happened. They don't adjust for the opponent's level or the court surface.
  • Small samples swing a lot. Winning 2 of 3 break points is 66.7%, but it says little about a player's real conversion rate.
  • Tiebreaks and deciding-point formats aren't shown separately.

Frequently asked questions

Why is first-serve points won out of first serves in, not all points?

Because it measures how well the first serve works when it lands. Points where the first serve missed are second-serve points, and they're measured separately.

Are double faults part of the second-serve figures?

Yes. A double fault is a point played on a second serve and lost. So it counts in second-serve points, but not in second-serve points won. That's why the second-serve points are just service points minus first serves in.

What is a good break-point conversion rate?

Around 40% is a common benchmark for strong players over a season. In a single match it varies widely, because there may be only a handful of chances.

What does the dominance ratio show?

It divides the share of return points won by the share of service points lost. Above 1 means a player wins return points more often than they lose service points. Over many matches, that goes with a winning record.

How this calculator is checked

Method: Standard tennis match-statistics definitions (first-serve %, first- and second-serve points won, service and return points won, break points converted, match win %) and the dominance ratio (return points won % ÷ service points lost %). The calculation is covered by automated tests with known reference values and edge cases. Last updated 2026-10-18. Found a problem? Tell us.

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