Beim Einkaufen, beim ersten Job oder beim Sparen - überall... Show more
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Knowunity AI
Subjects
Triangle Congruence and Similarity Theorems
Triangle Properties and Classification
Linear Equations and Graphs
Geometric Angle Relationships
Trigonometric Functions and Identities
Equation Solving Techniques
Circle Geometry Fundamentals
Division Operations and Methods
Basic Differentiation Rules
Exponent and Logarithm Properties
Show all topics
Human Organ Systems
Reproductive Cell Cycles
Biological Sciences Subdisciplines
Cellular Energy Metabolism
Autotrophic Energy Processes
Inheritance Patterns and Principles
Biomolecular Structure and Organization
Cell Cycle and Division Mechanics
Cellular Organization and Development
Biological Structural Organization
Show all topics
Chemical Sciences and Applications
Atomic Structure and Composition
Molecular Electron Structure Representation
Atomic Electron Behavior
Matter Properties and Water
Mole Concept and Calculations
Gas Laws and Behavior
Periodic Table Organization
Chemical Thermodynamics Fundamentals
Chemical Bond Types and Properties
Show all topics
European Renaissance and Enlightenment
European Cultural Movements 800-1920
American Revolution Era 1763-1797
American Civil War 1861-1865
Global Imperial Systems
Mongol and Chinese Dynasties
U.S. Presidents and World Leaders
Historical Sources and Documentation
World Wars Era and Impact
World Religious Systems
Show all topics
Classic and Contemporary Novels
Literary Character Analysis
Rhetorical Theory and Practice
Classic Literary Narratives
Reading Analysis and Interpretation
Narrative Structure and Techniques
English Language Components
Influential English-Language Authors
Basic Sentence Structure
Narrative Voice and Perspective
Show all topics
3,650
•
Updated Mar 28, 2026
•
Beim Einkaufen, beim ersten Job oder beim Sparen - überall... Show more

Rabatt kennst du bestimmt schon vom Shopping - das ist einfach ein Preisnachlass, den du auf Waren oder Dienstleistungen bekommst. Meistens wird er in Prozent angegeben, manchmal auch als fester Betrag.
Die Mehrwertsteuer zahlst du als Endverbraucher bei jedem Einkauf mit, ohne es oft zu merken. Aktuell liegt sie bei 19% und ist bereits in den meisten Preisen enthalten, die du im Laden siehst.
Bei Brutto und Netto gibt es eine coole Merkhilfe: "Netto = Ned so viel, Brutto = Brutal viel". Beim Gehalt ist Brutto der Gesamtbetrag vor allen Abzügen, Netto das, was wirklich auf dem Konto landet. Die Formel dazu: Bruttolohn - Steuern und Sozialversicherungsbeiträge = Nettolohn.
Zinsen sind der Preis, den du für geliehenes Geld zahlst - oder den du bekommst, wenn du Geld anlegst. Sie hängen vom Zinssatz, der Laufzeit und der Höhe des Betrags ab.
Tipp: Diese Begriffe begegnen dir täglich - vom Taschengeld bis zum Ferienjob!

Rabatt berechnen ist total einfach: Du multiplizierst den Preis mit der Prozentzahl und teilst durch 100. Bei einem 700€-Sofa mit 20% Rabatt rechnest du: (700 × 20) ÷ 100 = 140€ Rabatt. Der neue Preis ist dann 700€ - 140€ = 560€.
Mehrwertsteuer kannst du in beide Richtungen rechnen. Um sie draufzuschlagen, addierst du sie zum Nettopreis (10,92€ + 2,07€ = 12,99€). Um sie abzuziehen, teilst du den Bruttopreis durch 1,19 - so kommst du vom Bruttopreis zurück zum Nettopreis.
Zinsen berechnest du mit der Formel Z = (K × p) ÷ 100. Dabei ist Z der Zinsertrag, K dein Anfangskapital und p die Zinszahl. Das Endkapital ist dann dein Anfangskapital plus die Zinsen.
Diese Formeln sind deine Werkzeuge für viele Alltagssituationen - vom Schnäppchen-Check bis zur ersten Geldanlage!
Merke dir: Mit diesen drei Formeln kannst du schon richtig viel im Alltag berechnen!
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
App Store
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
Beim Einkaufen, beim ersten Job oder beim Sparen - überall begegnen dir Begriffe wie Rabatt, Mehrwertsteuer und Zinsen. Diese mathematischen Konzepte sind super praktisch für den Alltag und gar nicht so kompliziert, wie sie zunächst aussehen.

Access to all documents
Improve your grades
Join milions of students
Rabatt kennst du bestimmt schon vom Shopping - das ist einfach ein Preisnachlass, den du auf Waren oder Dienstleistungen bekommst. Meistens wird er in Prozent angegeben, manchmal auch als fester Betrag.
Die Mehrwertsteuer zahlst du als Endverbraucher bei jedem Einkauf mit, ohne es oft zu merken. Aktuell liegt sie bei 19% und ist bereits in den meisten Preisen enthalten, die du im Laden siehst.
Bei Brutto und Netto gibt es eine coole Merkhilfe: "Netto = Ned so viel, Brutto = Brutal viel". Beim Gehalt ist Brutto der Gesamtbetrag vor allen Abzügen, Netto das, was wirklich auf dem Konto landet. Die Formel dazu: Bruttolohn - Steuern und Sozialversicherungsbeiträge = Nettolohn.
Zinsen sind der Preis, den du für geliehenes Geld zahlst - oder den du bekommst, wenn du Geld anlegst. Sie hängen vom Zinssatz, der Laufzeit und der Höhe des Betrags ab.
Tipp: Diese Begriffe begegnen dir täglich - vom Taschengeld bis zum Ferienjob!

Access to all documents
Improve your grades
Join milions of students
Rabatt berechnen ist total einfach: Du multiplizierst den Preis mit der Prozentzahl und teilst durch 100. Bei einem 700€-Sofa mit 20% Rabatt rechnest du: (700 × 20) ÷ 100 = 140€ Rabatt. Der neue Preis ist dann 700€ - 140€ = 560€.
Mehrwertsteuer kannst du in beide Richtungen rechnen. Um sie draufzuschlagen, addierst du sie zum Nettopreis (10,92€ + 2,07€ = 12,99€). Um sie abzuziehen, teilst du den Bruttopreis durch 1,19 - so kommst du vom Bruttopreis zurück zum Nettopreis.
Zinsen berechnest du mit der Formel Z = (K × p) ÷ 100. Dabei ist Z der Zinsertrag, K dein Anfangskapital und p die Zinszahl. Das Endkapital ist dann dein Anfangskapital plus die Zinsen.
Diese Formeln sind deine Werkzeuge für viele Alltagssituationen - vom Schnäppchen-Check bis zur ersten Geldanlage!
Merke dir: Mit diesen drei Formeln kannst du schon richtig viel im Alltag berechnen!
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
103
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
Entdecken Sie die Grundlagen der Zins- und Prozentrechnung. Diese Zusammenfassung behandelt die Berechnung von Zinsen, den Umgang mit vermehrtem und vermindertem Grundwert sowie die Anwendung von Prozentformeln. Ideal für Schüler, die sich auf Prüfungen vorbereiten oder ihr Wissen in Finanzmathematik vertiefen möchten.
Erfahren Sie alles über die Zinsberechnung mit der Kipp-Formel. Diese Zusammenfassung behandelt die Berechnung von Zinsen, Kapital und Prozentsätzen anhand eines praktischen Beispiels. Ideal für Studierende der Finanzmathematik. Typ: Zusammenfassung.
Erlernen Sie die Grundlagen der Verkaufskalkulation, einschließlich Vorwärts-, Rückwärts- und Differenzkalkulation. Diese Zusammenfassung behandelt den Zusammenhang zwischen Kalkulationszuschlag und Handelsspanne sowie wichtige Formeln zur Berechnung von Bezugspreisen und Listenverkaufspreisen. Ideal für Mathematik- und Wirtschaftsstudien.
Entdecken Sie die Grundlagen der Bruch- und Prozentrechnung. Diese Zusammenfassung behandelt die Umwandlung von Brüchen in Dezimalzahlen, die Umrechnung von Dezimalzahlen in Brüche, sowie die Addition, Subtraktion, Multiplikation und Division von Brüchen. Außerdem wird der Dreisatz und die Prozentrechnung detailliert erklärt. Ideal für Schüler, die ihre mathematischen Fähigkeiten verbessern möchten.
Entdecke die Grundlagen der Prozentrechnung mit klaren Formeln und praktischen Beispielen. Diese Zusammenfassung bietet eine einfache Anleitung zur Berechnung von Prozentwerten, Grundwerten und Prozentsätzen. Ideal für Schüler, die ihre Fähigkeiten in der Prozentrechnung verbessern möchten.
Dieser Lernzettel behandelt die Grundlagen der Prozent- und Zinsrechnung, einschließlich der Berechnung von Prozentwerten, Grundwerten und Zinssätzen. Er erklärt auch das Konzept der Zinseszinsen und bietet wichtige Formeln zur Berechnung von Zinsen über verschiedene Zeiträume. Ideal für Studierende der Finanzmathematik.
App Store
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user