Perfecting Percentages!

This week, we have a ‘Math’s Masterclass’ from Merex!

This blog will teach you how to find out how to find a percentage of ANY number step by step!

Firstly, the word ‘percentage’ means ‘out of 100’ making 100 the full percent. When you are using percentages, the whole is considered to be made up of a hundred equal parts. The symbol % is used to show that a number is a percentage. Therefore, you can consider that a ‘whole’ would be split into 100 equal parts and each part is equivalent to 1%. To find out 10% of a whole, for example, 10% of 250 then you would divide the whole by 10. 10% of 250= 25. For 25%, you will need to divide it by 4 because 25×4=100 etc. 25% of 250= 62.5 . To find out 50% of a number, you divide it by 2 etc. 50% of 250= 1259.

Once you’ve learnt how to find out 10% of a number, you will be able to find 5% of a number. To do this, you will need to find half of 10% to get 5% because half ten is five etc. 10% of 250= 25 divide by 2= 12.5. To find out 1% of a number, you will need to divide the ‘whole’ by 100 because 1 goes into 100, 100 times. 1% of 250= 0.25. To find out 20%, 30%, 40% etc. you need to find out 10% of the number, then multiply that by the unit in the tens column. For example, 20% of 250= 10% of 250= 25 x 2= 50.

Finally, when you’ve mastered all of the previous percentage methods, you will be able to find out ANY percentage of ANY number. Partition the percentage into separate percentages that are easy to find out etc. 68% of 380= 10% of 380=38 x 6= 228= 1% of 380= 0.38 x 8=3.04= 228+3.04= 258.04

Now you have mastered percentages! This is a skill to use in normal life, for example shopping! You can help your parents figure a discount for an item that is on sale! Well done! ๐Ÿ™‚

10 Comments

  1. This was a very confusing lesson at first but when I got the hang of it was very fun to do. The question that I got stuck on was ‘what is 15% of 200 but now I know to divide by 10, then half that and then add it together to get 30. What time in life will we need to use the skill of knowing percentages?

  2. Percentage problems are so fun to do when you know how to solve them.
    With these methods it is definite I will remember them as it is so nicely explained by Merex ๐Ÿ™‚

  3. I feel I’ve learnt something new about percentages! I wonder how this would work out with a decimal number as a whole number?

  4. woah Merex this really helped me to understand percantages, you explained in such a simple way that it was not hard to understand making it accessible for all! i especially like how you even gave examples ๐Ÿ™‚

  5. You’re definitely correct in saying that knowing how to calculate a percentage is a skill in real life, and you really explained the different methods for different percentages really thoroughly!

  6. ๐Ÿ˜ฎ. Wow. It was a good idea to add the basics and the meaning of percentages before you showed them how to work out percentages. I think I have learnt a bit more about percentages than I did before.๐Ÿ‘๐Ÿป

  7. Thank you Merex! This is why multiplication is important.This encourages me to get better at my decimals and fraction, so that
    In the future I can be prepared.

  8. Thank you Merex for showing me that percentages are actually really simple. I have learnt a lot more about percentages.๐Ÿ‘

  9. You explained how to do this very clearly! It was easy to follow and it helped me realise how to figure out questions using percentages!

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