YOU ARE LEARNING:

# What Are Percentages?

### What Are Percentages?

Percentages are a useful way to represent amounts. You can convert between fractions, decimals and percentages.

How many little blocks do you see here?

Now, how many of the blocks have been coloured in?

So $\frac{37}{100}$ blocks have been coloured in

This is the same as **37 percent** of the blocks.

How can you also write **37 percent**?

What does "percent" $\%$ actually mean?

Where else do you know "cent" from?

How many *centi*metres are there in a metre?

How many years are there in a *cent*ury?

How many *centilitres* are there in a litre?

So "percent" means "per _________".

A) $10$ B) $100$ C) $1000$

"Percent" means "per 100"

So when you say $37\%$, you actually say "37 out of 100" or $\frac{37}{100}$

How many $\%$ of these blocks have been coloured in?

$\frac{50}{100}$ or $50\%$ of these blocks have been coloured in. What does the fraction $\frac{50}{100}$ become when it has been simplified as much as possible?

So $50\%$ is the same as $\frac{50}{100}$ which is the same as $\frac{1}{2}$

**Half** of these blocks are coloured in.

Now, which one of these cakes shows that only $50\%$ is left? Answer A, B or C.

Which cake shows that only $25\%$ is left? Answer A, B or C.

Which cake shows that $100\%$ is left? Answer A, B or C.

So what is $100\%$ the same as?

A) $1$ B) $100$ C) $0$

So $100\%$ is the same as $\frac{100}{100}$ or $1$ whole

$50\%$ is the same as $\frac{50}{100}$ or $\frac{1}{2}$

$25\%$ is the same as $\frac{25}{100}$ or $\frac{1}{4}$

How much is left of this pizza in $\%$?

How much is $\frac{69}{100}$ as a $\%$?

How do you write $24\%$ as a **fully simplified fraction**?

To recap! "Percent" means "per 100"

Here there are $\frac{37}{100}$ blocks filled in, so that is $37\%$

$100\%$ is the same as $1$ whole

$\frac{75}{100}$ or $75\%$ is the same as $\frac{3}{4}$

$\frac{50}{100}$ or $50\%$ is the same as $\frac{1}{2}$

$\frac{25}{100}$ or $25\%$ is the same as $\frac{1}{4}$

So $1\%$ is the same as $\frac{1}{100}$

You can also say **1 hundredth**.

How many hundredths are in the decimal $0.43$?

How do you think you can write $0.43$ as a $\%$?

So you can also change decimals to $\%$

For example, $0.43$ is the same as $\frac{43}{100}$ which is the same as $43\%$

How would you write $0.87$ as a $\%$?

Now, how much is $0.134$ in $\%$?

So what do you actually do when you change decimals into $\%$?

Have a good look at these examples again.

You change decimals into $\%$ by _____________ by $100$

A) dividing B) multiplying

You change decimals into $\%$ by multiplying by $100$

For example, $87\%$ is $\times100$ bigger than $0.87$

Now, what is $8\%$ as a decimal?

Pick the **3** **options** below that are the same as $40\%$

You can select multiple answers

What is $200\%$ the same as?

Pick the **3** **options** below that are the same as $150\%$

You can select multiple answers

Summary! "Percent" means "per 100"

$100\%$ is the same as $1$ whole.

You can change between fractions, decimals and percent

For example, $25\%$ is the same as $\frac{25}{100}$ or $\frac{1}{4}$ which is also the same as $0.25$