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How to work out a percentage of an amount

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How to work out a percentage of an amount

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A customer in a restaurant may wish to give a tip when paying for a meal. They may use a mental calculation to work out a 10% or 15% payment to the person who has provided the table service. They can then leave a cash tip, or add the tip to their card payment.

Finding the percentage of an amount is useful when buying discounted goods. For example, a clothes store may offer higher discounts on particular collections within the same store. Each item may be tagged with the full price and the percentage discount. It is useful to be able to work out the price you will pay either mentally or with a calculator.

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How to find a percentage of a given amount using mental methods Find a percentage of a given amount using a calculator

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How to find the original value before % off (decimal method)

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How to find the original value before % off (decimal method)

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Working backwards

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How to find the original value before % off (decimal method)

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A simple guide on how to work out the original value before a percentage discount. Aimed at students aged between 11 and 14

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How to work out a percentage decrease (decimal method)

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How to work out a percentage decrease (decimal method)

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How to work out a percentage decrease (decimal method)

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A guide aimed at 11-14 year old children on how to figure out the percentage decrease of an amount.

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How to work out percentage increase (decimal method)

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How to work out percentage increase (decimal method)

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How to work out percentage increase (decimal method)

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A guide aimed at 11-14 year old children on how to work out the percentage increase of an amount using the decimal method.

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Convert between percentages and decimals

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Convert between percentages and decimals

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To turn a percentage into a decimal you have to divide by 100

To turn a decimal into a percentage you have to multiply by 100.

The best way to improve in this topic is practice multiplying and dividing by 100!

To start off with, let's look at how we get from 100% to other percentages.

Percentage

100%

But, we know that 100% represents a whole, or 100%=1, so we can use these same divisions to find some basic decimals.

Percentage Decimal

100% 1

\div100 1% 0.01

When comparing these percentages and decimals, it is important to notice that all that has actually happened is, we have divided by 100.

100\div100=1

50\div100=0.5

20\div100=0.2

All we need to do is remember that when we divide by 100, we move all digits two places to the right.

77\%\div100 \rightarrow7.7\rightarrow0.77

123\%\div100 \rightarrow12.3\rightarrow1.23

3.1\%\div100 \rightarrow0.31\rightarrow0.031

How about if we want to go in the opposite direction and turn a decimal into a percentage? Well, we do the opposite, we multiply by 100!
Remember, when we multiply by 100, we move all the digits to the left two places.
0.13\times100\rightarrow1.3\rightarrow13

1.67\times100\rightarrow16.7\rightarrow167

0.002\times100\rightarrow0.02\rightarrow0.2

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Converting Between Percentages and decimals | KS3 Maths Resources

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To turn a percentage into a decimal you have to divide by 100 To turn a decimal into a percentage you have to multiply by 100. The best way to improve in this topic is practice multiplying and dividing by 100! To start off with, let's look at how we get from 100% to other percentages.

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You need to enable flash on the site to play the game

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Decimals Jeopardy Game for Tablets and iPads

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Watch: convert between fractions, decimals and percentages

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Watch: convert between fractions, decimals and percentages

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Use this method - it works everytime!

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Dividing a decimal by a whole number - Decimals - KS3 Maths Revision - BBC Bitesize

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Learn about and revise decimals including place value, ordering, adding and subtracting with BBC Bitesize KS3 Maths.

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Multiplying a decimal by a whole number - Decimals - KS3 Maths Revision - BBC Bitesize

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Learn about and revise decimals including place value, ordering, adding and subtracting with BBC Bitesize KS3 Maths.

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Practice: rounding to whole numbers and decimal places

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Practice: rounding to whole numbers and decimal places

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Maths Genie - Rounding Practice Questions

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Practice Questions with Answers on the topic of Rounding to the nearest 10, 100 or 1000.

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Order 3 decimals with digits up to the thousandths from least to greatest.

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Also dividing by 10, 100, 1000: https://www.bbc.co.uk/bitesize/guides/z27xsbk/revision/4

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Multiplying decimals by 10, 100 and 1,000 - Decimals - KS3 Maths Revision - BBC Bitesize

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Learn about and revise decimals including place value, ordering, adding and subtracting with BBC Bitesize KS3 Maths.

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Adding and subtracting decimals - Decimals - KS3 Maths Revision - BBC Bitesize

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Learn about and revise decimals including place value, ordering, adding and subtracting with BBC Bitesize KS3 Maths.