Percentages of Whole Numbers | Year 6 Maths Resources

What you need to know

 Things to remember:

  • You can add and subtract different percentages to make the percentage you want.

What is 50% of 80?

Well, we have a couple of ways of doing this. First, we should look back at how we write percentages as fractions.

Percent Fraction Division

100% \dfrac{1}{1} \div1

 50% \dfrac{1}{2} \div2

25% \dfrac{1}{4} \div4

 20% \dfrac{1}{5} \div5

 10% \dfrac{1}{10} \div10

5% \dfrac{1}{20} \div20

2% \dfrac{1}{50} \div50

1% \dfrac{1}{100} \div100

So, how do we find the 50% of 80? Well, the table tells us we have to divide by 2!

50\% \text{ of }80 = 80\div2=40

Not too bad, right?

What is 2% of 400?

The table tells us that to find 2% we have to divide by 50.

2\% of 400 = 400\div50=8

How about if we have to find a percentage that isn’t in our table? Well, we can do that 3 steps.

What is 35% of 200?

Step 1: Think about what percentages in our table we can add or subtract to make the percentage in the question.

 

35\% = 25\% + 10\%

Step 2: Find these new percentage amounts.

25\% of 200 = 200\div4=50

10\% of 200 = 200\div10=20

Step 3: Add or subtract the percentages.

We need to add ours.

35\% = 25\% + 10\%

35\% of 200 = 50 + 20 = 70

Now for the quick and exciting method, which we’d usually do using a calculator.

What is 37% of 400?

What is 37% as a fraction?

37\% = \frac{37}{100}

So, this question can actually be rewritten as:

What is \frac{37}{100} of 400?

But, we know how to do this in two steps:

Step 1: Divide the amount by the denominator.

400\div100=4

Step 2: Multiply the number in Step 1 by the numerator.

37\times4=148

37\% of 400 = 148

So, we can actually use these steps to find ANY percentage amount, even decimals!

What is 59 % of 300?

Step 1: Divide the amount by 100.

300\div100=3

Step 2: Multiply by your percentage.

 3\times59=177

59\% of 300 = 177

Times Table Flash Cards

Times Table Flash Cards

(28 Reviews) £8.99

Example Questions

Step 1: Think about what percentages in our table we can add or subtract to make the percentage in the question.

 

 45\% = 50\% - 5\%

 

Step 2: Find these new percentage amounts.

 

50\% of 40 = 40\div2=20

 

5\% of 40 = 40\div20=2

 

Step 3: Add or subtract the percentages.

 

We need to add ours.

 

45\% = 50\% - 5\%

 

45\% of 40 = 20 -2 = 18

Step 1: Divide the amount by 100.

 

700\div100=7

 

Step 2: Multiply by your percentage.

 

 7\times87=609

 

87\% \text{ of } 700 = 609

KS2 SATs Flash Cards

KS2 SATs Flash Cards

(43 Reviews) £8.99
  • All of the major KS2 Maths SATs topics covered
  • Practice questions and answers on every topic
  • Perfect for year 6 Maths SATs
  • All exam boards e.g. AQA, OCR, Edexcel, WJEC.

Need some extra help? Find a Maths tutor now

Or, call 020 3633 5145