Per cent means out of 100
35 per cent means 35 out of 100.
All three forms describe the same amount.
Year 5
Recognise the per cent symbol and understand that per cent relates to number of parts per hundred, and write percentages as a fraction with denominator 100 and as a decimal
Understand percentages as parts per hundred and link them to fractions and decimals.
Lesson overview
Number - decimals and percentages
Per cent means out of one hundred. A percentage can be written as a fraction with denominator 100 and as a decimal. This lets us move between the three forms easily.
Whole numbers and percentages
100 per cent means one whole.
A full amount is 100 per cent.
Half as a percentage
50 per cent is half, so it is 0.5.
Some percentages connect to familiar fractions.
Worked example
Write 7 per cent as a fraction and as a decimal.
- Per cent means out of 100.
- So 7 per cent is .
- Seven hundredths is 0.07.
- The three forms all match.
Round 1: Learn it
Move carefully between per cent, fraction and decimal forms.
Finish this round to unlock Round 2: Show you know it.
Question 1
What is 35 per cent as a decimal?
Question 2
What is 50 per cent as a fraction with denominator 100?
Question 3
Which decimal equals 7 per cent?
Question 4
What is 100 per cent as a decimal?
Question 5
Which percentage equals ?
Common mistakes
Watch for these as you work through the lesson.
- Forgetting that per cent means out of 100.
- Placing the decimal point in the wrong place.
- Confusing 5 per cent with 0.5 instead of 0.05.
Related topics
These ideas connect closely to this lesson.
- Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents.
- Solve problems involving numbers up to three decimal places, percentages and decimal equivalents of fractions.