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Percentages of an Amount
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Foundational skills
Convert percentage to decimal multiplier
\[ \text{Example: } 23\% \rightarrow 0.23 \]
Write a percentage as a decimal.
Identify division factors of 100
\[ 20\% = \text{Divide by } 5 \]
Identify which number to divide by for common percentages.
Non-calculator: Common percentages
50% of a number
\[ 50\% \text{ of } 84 \]
Halve the number to find 50%.
25% of a number
\[ 25\% \text{ of } 120 \]
Halve the number twice or divide by 4 to find 25%.
10% of a number
\[ 10\% \text{ of } 340 \]
Divide the number by 10 to find 10%.
1% of a number
\[ 1\% \text{ of } 600 \]
Divide the number by 100 to find 1%.
Non-calculator: Building up
Multiples of 10% (Mental)
\[ 30\% \text{ of } 60 \]
Find 10% first and multiply it to get multiples of 10%.
5% of a number (Mental)
\[ 5\% \text{ of } 80 \]
Find 10% first and halve it to get 5%.
Multiples of 5% (Mental)
\[ 15\% \text{ of } 40 \]
Combine 10% and 5% values to find multiples of 5%.
Multiples of 1% (Mental)
\[ 3\% \text{ of } 200 \]
Find 1% first and multiply it.
Complex integers (Mental)
\[ 12\% \text{ of } 50 \]
Break the percentage into tens and units to solve it.
Calculator methods
Multiples of 10 with calculator
\[ 40\% \text{ of } 53 \]
Use a decimal multiplier to find a multiple of 10%.
Multiples of 1 with calculator
\[ 37\% \text{ of } 142 \]
Use a decimal multiplier to find an integer percentage.
Decimal percentages with calculator
\[ 4.5\% \text{ of } 250 \]
Use a decimal multiplier to find a percentage that has a decimal point.
Percentages over 100%
\[ 120\% \text{ of } 60 \]
Find an amount greater than the original number.
Special cases
Money contexts (Rounding)
\[ 17\% \text{ of } \text{£}55.50 \]
Calculate the percentage of a price and round to the nearest penny.
Comparing percentages
\[ 30\% \text{ of } 150 \text{ vs } 25\% \text{ of } 200 \]
Compare two percentage calculations to determine which is larger.
Timer (Optional)
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Question
