## There are a few ways of learning how to calculate percentages of whole numbers ..

.. although this video shows how to calculate percentages by converting to fractions and then cross division.

‘Percentage’ means ‘out of 100.’ Therefore we can use the idea of ‘equivalent fractions’ to make the numbers smaller and easier to deal with.

So 12% is exactly the same as 12/100; which is equivalent to 6/50 or 3/25.

Any number can be written as divided by 1.

So 50 is the same as 50/1 – we then use cross division to make a calculation.

The key points to remember are:

- ‘whatever we do to the top, we have to do to the bottom.’
- don’t forget that ‘of” always means ‘multiply.’

Finally, not all questions require you to answer as a decimal – it’s perfectly OK to leave as a fraction (providing you make sure it’s as small as possible).

This is a popular method that is taught in schools:

#### Why are percentages important?

Most of everyday life involves percentages, usually as a comparison.

For instance 30% discount seems a much better deal than 10%… or does it? (you really need to work out the actual price you pay).

Generally we tend to mix and match between fractions and percentages. Although it’s the same thing, 30% seems a lot friendlier than a discount of 3/10ths !

Watch the videos on YouTube:

https://www.youtube.com/watch?v=L_0T-WPQH18

https://www.youtube.com/watch?v=zM1DmuKLwkw

https://www.youtube.com/watch?v=j7VMJSTw1tE

[easyazon_image align=”none” height=”160″ identifier=”1447980204″ locale=”UK” src=”https://www.3minutemaths.co.uk/wp-content/uploads/2016/04/51PqY1BYYTL.SL160.jpg” tag=”matwra-21″ width=”118″]

Sean Dempsey says

your a lifesaver

ThealmightyFlinson says

if you don’t simplify would it be correct?

gaia Hill says

Thank you:)

sukr bait says

Why not just leave it as 50/200x 100= 25? Why add another whole step?

Andrew Adamian says

THANK YOU SOOO MUCH! Really appreciate it!

red reuben says

good

LetsLearnArabic says

You’re an awesome teacher, yeah I totally forgot how to do this also I

guess as a suggestion you could have simplified the end i.e. 36/5 by doing

36/10 then multiplying it by 2? I guess if your math is decent then long

division should be fine but I find it easier to do it that way?

I guess the suggestion is for your students, seeing your math is really

good.

andrejustin bayarong says

Thank you sir Simon Deacon for helping me answering my Ass.

Jiyat Singh says

thank you

Donal Gray says

Just letting you know that your final equation (37% of 600) was off by a

count of 60. You said 3 times 10% but only added it up to 120 rather than

180. Perfect bar that wee slip of the tongue.

Stephanie Anne says

You can do canceling. Example you divide 20 to 10. You can see there’s one

0 to 10 so your just gonna cancel how many zeros are there? Is it right?

Nicola Bean says

Brilliant, absolutely brilliant just what I needed thankyou so much 🙂

Great help

Tech Bliss says

best method, best way no doubt :D.

Number and Algebra – completed

Geometry and Measure – Completed

Statistics and Number – Tuesday 17th June 2014

The statistics and numbers is the one i fear very badly ): I will not do

good and it will reduce my grade by 50% lol

Usman Ikhlaq says

Excellent. Good for last minute revision!

Sage art says

U cud of just cancel out by 20 in the first place and 60 would have become

3 and the 100 would become 5 .

Johnny Bramble says

Thank you soooo much I am only in year 4 but I got level 5 questions during

the holidays and percentages was one of them

Johnny Bramble says

Thank you soooo much I am only in year 4 but I got level 5 questions during

the holidays and percentages was one of them

weelouisexo says

Can you tell me as I cannot find it anywhere.. How do you work out the

percentage difference between a number? Preferably on a calculator. For

example, calculate the difference between 5.0 and 5.4 as a percentage.

deerashini deerashni says

Thank u sooo mch…I forget it cause my exam was going tonbe the follow day

soo I got stree and forget abt it

Ziheng Liao says

Better than my teacher

Dudeloo Kanavos says

this is a bullsh*t method

Rasmus Haycraft Mee says

Thanks ALOT. By the looks of things I am going to be checking out quite a

few of your vids

sakina221 says

Thanks ur videos are really helping me in order to revise for my gcse mock

exam as I’m doing foundation for me to do higher have to pass foundation

I’m really grateful you explanations are much easier to understand

Simon Deacon says

Please post, pin, tweet, like or subscribe!

Simon Deacon says

Please post, pin, tweet, like or subscribe!

Ajandeen Ali says

thank you Mr you really helped me with this and thought me a very simple way in working out percentages ….. thanks alot

Awake Drake says

not bad at all-

Simon Deacon says

Thanks – really appreciate comment 🙂

Randy Munguia says

Great Vid!

Simon Deacon says

Thank you 🙂

Randy Munguia says

Excellent video!

Lord Razor says

your amazing