Percentá sú všade okolo nás - v obchodoch pri zľavách,... Show more
Matematika
Slovenský jazyk
AngličtinaSign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
201
•
Updated Mar 18, 2026
•
Percentá: Jednoduchý Sprievodca
1 / 7
Čo sú to percentá a základné pojmy
Predstav si, že máš koláč rozdelený na 100 rovnakých kúskov. Percento (%) znamená jeden z týchto stotinových kúskov. Ak zješ 25 kúskov, zjedol si 25% koláča!
Základ je celý ten koláč - to je vždy 100%. Môže to byť cena trička, počet žiakov v triede alebo čokoľvek, z čoho počítaš percentá.
Percentová časť je tá skutočná hodnota, ktorú hľadáš. Napríklad, ak je zľava 10 €, tak 10 € je percentová časť. Počet percent ti povie, koľko stotín z celku to vlastne je.
💡 Tip: Vždy si predstav celok rozdelený na 100 rovnakých kúskov - tak percentá pochopíš oveľa ľahšie!
Ako vypočítať percentovú časť (koľko je X% z čísla)
Chceš vedieť, koľko je 20% z 50 €? Máš dve super jednoduché metódy!
Metóda 1: Cez 1% (tá najjednoduchšia) Najprv vypočítaš, koľko je 1% zo základu: 50 ÷ 100 = 0,50 €. Potom to násobíš počtom percent: 0,50 × 20 = 10 €. Hotovo!
Metóda 2: Desatinné číslo Percentá premieň na desatinné číslo: 20% = 20 ÷ 100 = 0,20. Potom násobíš základom: 0,20 × 50 = 10 €. Výsledok je rovnaký!
💡 Kontrola: Ak počítaš 10% z nejakého čísla, výsledok musí byť menší ako to číslo. Pri 110% bude väčší!
Ako nájsť základ (celok)
Niekedy vieš, že 10 € je 20% z nejakej sumy, a chceš zistiť, aká bola tá pôvodná suma. To je tiež jednoduché!
Metóda cez 1% funguje aj tu super dobre. Percentovú časť vydelíš počtom percent: 10 ÷ 20 = 0,50 €. To je 1%! Teraz násobíš 100: 0,50 × 100 = 50 €.
Takže 10 € bolo 20% z pôvodných 50 €. Vidíš? Matematika má svoj poriadok a všetko si krásne sadne.
Tento postup používaš napríklad, keď vieš, že 12 chlapcov je 60% triedy, a chceš zistiť, koľko žiakov je v triede spolu.
💡 Zapamätaj si: Základ je vždy väčší ako percentová časť (okrem prípadov nad 100%).
Riešené príklady krok za krokom
Príklad 1: Ruksak stojí 40 € a má 25% zľavu. Koľko eur ušetríš? Hľadáš percentovú časť. Vypočítaš 1% z 40 €: 40 ÷ 100 = 0,40 €. Potom 25%: 0,40 × 25 = 10 € ušetríš.
Príklad 2: V triede je 12 chlapcov, čo je 60% všetkých žiakov. Koľko žiakov je spolu? Hľadáš základ. Vypočítaš 1%: 12 ÷ 60 = 0,2 žiaka. Potom celok: 0,2 × 100 = 20 žiakov je v triede.
Príklad 3: Na teste z 30 otázok si mal 90% správne. Koľko otázok? Použiješ desatinnú metódu: 90% = 0,90. Potom: 0,90 × 30 = 27 správnych otázok.
💡 Skúška: Vždy si skontroluj, či ti výsledok dáva zmysel v kontexte úlohy!
Dôležité tipy a triky na zapamätanie
Percentá sú len iný spôsob, ako napísať zlomky. 50% = 1/2 = 0,5 a 25% = 1/4 = 0,25. Keď si to zapamätáš, všetko bude jednoduchšie.
Vždy si dobre prečítaj úlohu a zisti, čo je základ. Niekedy sa to môže zamotať, ale základ je vždy to číslo, z ktorého percentá počítaš.
Celok je vždy 100%. Ak niečo klesne o 20%, zostáva ti 80%. Ak niečo vzrastie o 15%, máš 115% pôvodnej hodnoty.
Na vizuálne predstavenie si nakresli stĺpcový graf alebo kruh rozdelený na 100 častí. Pomôže ti to lepšie pochopiť, o čom vlastne hovoríš.
💡 Pre skúšku: Zapamätaj si obe metódy výpočtu - cez 1% aj cez desatinné čísla. Nikdy nevieš, ktorá ti bude vyhovovať viac!
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Most popular content in Matematika
Most popular content
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.6/5
App Store
4.7/5
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
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
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
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
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 app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
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
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
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
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
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 app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
Percentá: Jednoduchý Sprievodca
Percentá sú všade okolo nás - v obchodoch pri zľavách, pri testoch v škole alebo keď hovoríme o časti koláča. Sú to vlastne len jednoduchý sposôb, ako ukázať časť celku pomocou čísla 100.
Čo sú to percentá a základné pojmy
Predstav si, že máš koláč rozdelený na 100 rovnakých kúskov. Percento (%) znamená jeden z týchto stotinových kúskov. Ak zješ 25 kúskov, zjedol si 25% koláča!
Základ je celý ten koláč - to je vždy 100%. Môže to byť cena trička, počet žiakov v triede alebo čokoľvek, z čoho počítaš percentá.
Percentová časť je tá skutočná hodnota, ktorú hľadáš. Napríklad, ak je zľava 10 €, tak 10 € je percentová časť. Počet percent ti povie, koľko stotín z celku to vlastne je.
💡 Tip: Vždy si predstav celok rozdelený na 100 rovnakých kúskov - tak percentá pochopíš oveľa ľahšie!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Ako vypočítať percentovú časť (koľko je X% z čísla)
Chceš vedieť, koľko je 20% z 50 €? Máš dve super jednoduché metódy!
Metóda 1: Cez 1% (tá najjednoduchšia) Najprv vypočítaš, koľko je 1% zo základu: 50 ÷ 100 = 0,50 €. Potom to násobíš počtom percent: 0,50 × 20 = 10 €. Hotovo!
Metóda 2: Desatinné číslo Percentá premieň na desatinné číslo: 20% = 20 ÷ 100 = 0,20. Potom násobíš základom: 0,20 × 50 = 10 €. Výsledok je rovnaký!
💡 Kontrola: Ak počítaš 10% z nejakého čísla, výsledok musí byť menší ako to číslo. Pri 110% bude väčší!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Ako nájsť základ (celok)
Niekedy vieš, že 10 € je 20% z nejakej sumy, a chceš zistiť, aká bola tá pôvodná suma. To je tiež jednoduché!
Metóda cez 1% funguje aj tu super dobre. Percentovú časť vydelíš počtom percent: 10 ÷ 20 = 0,50 €. To je 1%! Teraz násobíš 100: 0,50 × 100 = 50 €.
Takže 10 € bolo 20% z pôvodných 50 €. Vidíš? Matematika má svoj poriadok a všetko si krásne sadne.
Tento postup používaš napríklad, keď vieš, že 12 chlapcov je 60% triedy, a chceš zistiť, koľko žiakov je v triede spolu.
💡 Zapamätaj si: Základ je vždy väčší ako percentová časť (okrem prípadov nad 100%).
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Riešené príklady krok za krokom
Príklad 1: Ruksak stojí 40 € a má 25% zľavu. Koľko eur ušetríš? Hľadáš percentovú časť. Vypočítaš 1% z 40 €: 40 ÷ 100 = 0,40 €. Potom 25%: 0,40 × 25 = 10 € ušetríš.
Príklad 2: V triede je 12 chlapcov, čo je 60% všetkých žiakov. Koľko žiakov je spolu? Hľadáš základ. Vypočítaš 1%: 12 ÷ 60 = 0,2 žiaka. Potom celok: 0,2 × 100 = 20 žiakov je v triede.
Príklad 3: Na teste z 30 otázok si mal 90% správne. Koľko otázok? Použiješ desatinnú metódu: 90% = 0,90. Potom: 0,90 × 30 = 27 správnych otázok.
💡 Skúška: Vždy si skontroluj, či ti výsledok dáva zmysel v kontexte úlohy!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Dôležité tipy a triky na zapamätanie
Percentá sú len iný spôsob, ako napísať zlomky. 50% = 1/2 = 0,5 a 25% = 1/4 = 0,25. Keď si to zapamätáš, všetko bude jednoduchšie.
Vždy si dobre prečítaj úlohu a zisti, čo je základ. Niekedy sa to môže zamotať, ale základ je vždy to číslo, z ktorého percentá počítaš.
Celok je vždy 100%. Ak niečo klesne o 20%, zostáva ti 80%. Ak niečo vzrastie o 15%, máš 115% pôvodnej hodnoty.
Na vizuálne predstavenie si nakresli stĺpcový graf alebo kruh rozdelený na 100 častí. Pomôže ti to lepšie pochopiť, o čom vlastne hovoríš.
💡 Pre skúšku: Zapamätaj si obe metódy výpočtu - cez 1% aj cez desatinné čísla. Nikdy nevieš, ktorá ti bude vyhovovať viac!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
3
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Practice Test ✓ Essay Outlines
Practice Test
Quiz
Flashcards
Essay
Most popular content in Matematika
Most popular content
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.6/5
App Store
4.7/5
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
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
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
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
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 app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
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
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
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
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
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 app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user