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What is a percent?

This page was translated from German with AI. It has not been checked by a native speaker. Original page in German

In class A, 12 of 20 children ride a bike; in class B, 15 of 25. Who rides more? With percent (Prozent) you can compare such shares easily.
📄 Open worksheet (PDF, German)

The video

In the video we colour boxes in a hundred square.

Subtitles are available in ten languages. Choose them at the bottom right of the video.

Contents of the video

  1. 0:00 Introduction
  2. 0:28 One percent
  3. 0:57 Fraction, decimal, percent
  4. 1:29 Comparing percentages
  5. 1:58 Careful, mistake!
  6. 2:21 Try it yourself

The most important points

One percent

Percent means out of a hundred: \(1\,\% = \frac{1}{100}\). The whole is \(100\,\%\).

25 of 100 boxes: 25\,\%, a quarter.
25 of 100 boxes: \(25\,\%\), a quarter.

Fraction, decimal, percent

Expand to hundredths: \(\frac{1}{2} = \frac{50}{100} = 0{,}50 = 50\,\%\). \(\frac{1}{4} = 25\,\%\), \(\frac{3}{4} = 75\,\%\), \(\frac{1}{10} = 10\,\%\).

Fraction, hundredths, decimal and percent in one table.
Fraction, hundredths, decimal and percent in one table.

Both classes: \(\frac{12}{20} = \frac{60}{100} = 60\,\%\) and \(\frac{15}{25} = 60\,\%\). The same! Careful: \(0{,}5\) is not \(5\,\%\), but \(50\,\%\).

In both classes it is 60\,\%.
In both classes it is \(60\,\%\).

The worksheet

Here you can see the worksheet for the video (in German). First it explains everything again, then there are practice tasks at three levels. You can also open it as a PDF and print it.

📄 Open worksheet (PDF, German)

The worksheet – Page 1
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The worksheet – Page 2
Page 2/3
Show the worksheet solutions
The worksheet – Page 3
Page 3/3

Try it yourself

Task

a) Write \(\frac{3}{5}\) in percent. b) Write \(0{,}07\) in percent. c) Write \(40\,\%\) as a reduced fraction.

Show solution

a) \(\frac{60}{100} = 60\,\%\) b) \(\frac{7}{100} = 7\,\%\) c) \(\frac{40}{100} = \frac{2}{5}\)

Keep learning with a language model

Du bist meine Mathe-Lehrkraft. Ich lerne Deutsch als Zweitsprache. Unser Thema: Was ist ein Prozent? (Prozent, Bruch und Dezimalzahl umwandeln, Anteile vergleichen). Stelle mir nacheinander fünf kurze Aufgaben. Warte immer auf meine Antwort. Sag mir dann, ob sie richtig ist, und erkläre kurz, warum. Benutze einfache deutsche Sätze.

How this was made: The idea, structure and examples of the series are mine. I made them with the help of AI: a language model (LLM) built the slides of the video following my instructions. The voice was generated with Qwen3-TTS, modelled on my own voice.

The subtitles, the translations, the worksheet and this page were also made with the help of AI. The translations have not been checked by native speakers.

The videos, worksheets, texts and prompts in this series are licensed under CC BY 4.0: you may use, change and share them if you name the source.