Percents to Decimals

Grade 5/6 Percentages

given number ÷ whole number × 100

​How do we calculate percentages?

​Example: How does Ms. Cassidy mark your homework?

If Daniel achieves 25/32 on

his assignment:

25 ÷ 32 = 0.78

0.78 × 100 = 78

We know that Daniel achieved 78% on his homework!

​What if we dont have the given number?

If we don't have that given number, we have to use a different equation.

​Example: What if we know that Daniel achieved 80% on his assignment that was out of 40 marks, but we don't know how many points he achieved?

?/40 = 80%

40 × 80 = 3200

3200 ÷ 100 = 32

We know that Daniel achieved

32 points out of 40 in his

assignment!

Now we know how to answer the basic percentage questions, but how do we connect this to decimals?

It's not as scary as you think... Remember when we multiplied 0.78 × 100?

​When we did this we got our answer: 78%

Let's look back at place value to explain

Multiple Choice

What is 0.35 as a percentage?

• 3.5%

• 30.5%

• 35%

• 0.35%

Multiple Choice

What is 73% as a decimal?

• 0.73

• 7.3

• 0.073

• 73.00

Multiple Choice

What is 0.4 as a percentage?

• 4%

• 0.4%

• 40%

• 4.0%

Poll

What is 9% as a decimal?

• 0.90

• 0.09

Multiple Choice

What is 0.19 as a percentage?

• 1.9%

• 9%

• 0.19%

• 19%

​Now you're ready to complete your homework on your own!

Good Work!