## What are the chances of reading a post on percentages?

This series of 3 minute math is designed as a quick reminder for some of the main topics. I hope they help to provide a focus and a way forward. If you need any more detail please search the site or contact me – always pleased to answer any questions!

All the very best with your studies.

### Where do you find percentages?

See also percentage change.

The *word * ‘percent’ is derived from the Latin *per centum* meaning ‘by the hundred’. Although the percent *sign* evolved by a gradual change from the italian ‘per cento,’ which means ‘for a hundred.’ The ‘per’ was often just noted as a ‘p’ and eventually disappeared entirely. The ‘cento’ developed to two circles separated by a horizontal line. This eventually became the % we now use.

Percentages are used in many applications:

Statistics – 47% of people say…

Discount – 33% off!

Interest on a loan – 19.9% APR

Profit or Loss – a business might measure its success using a percentage

… and many more

### Video Transcript

“Hi and welcome to Three Minute Math – this video is all about percentages.

Let’s have a look at a percentage question:

16% of 12

The main thing to understand about percentages is that they are actually fractions. So we can rewrite this question as:

– because ‘percent’ actually means one hundred)

‘of’ always means multiply and ‘twelve’ is **twelve whole units**

…but to make things a little easier for me I’m going to rewrite this as:

So now I have

x

which is:

I’ve left this fraction as it is because I can divide by one hundred by moving the decimal point.

So if I move the decimal point two places (because there are two zeros) we have:

**1.92** as a decimal …which is the answer to this question.

This time, I’m going to handle the same question but as a fraction.

So we have…

x

I’ve written this slightly differently because it allows me to reduce and make these numbers a little easier to deal with.

Now if I divide the 12 by 4, I now have 3. Then divide the 100 by 4, I now have 25.

This leaves me in a position where, although my numbers aren’t great, they’re okay because I can:

multiply 16 and 3 to give me 48.

Then 25 multiplied by 1 is 25.

The result is a top-heavy fraction:

converted to a mixed number is…1

(If you need to know how to perform the conversion to mixed numbers, check out some of the other videos in the playlist).

I’m now in a position where the direct equivalent to the decimal 1.92 is 1. I can prove this by making the into a decimal, by multiplying it by four.

The result of this is:

which is the same as 0.92.

So…

1.92 is the same as 1.

I hope that’s been okay and I look forward to seeing you inside the next three minutes.”

Watch the video on YouTube – Working with Percentages

fightpsas says

who gives a video about math, showing how to get the right answer, a down

vote? he gave the answer and showed how to do it, what kinda retards are

people these days.

km6550 says

Really helpful, Thank you.

km6550 says

Really helpful!!

Uzzy A says

You’ve just earned yourself a sub

Thx

Simon Deacon says