Solve the Percentage Calculation: 30% of 80 Explained

Q: Why do I divide by 100 to convert a percentage?

Because percent means 'per hundred'! So 30% literally means 30 out of 100, which equals $ \frac{30}{100} = 0.3 $.

Q: Can I use the fraction method instead of decimals?

Absolutely! You can calculate $ \frac{30}{100} \times 80 = \frac{30 \times 80}{100} = \frac{2400}{100} = 24 $. Both methods give the same answer!

Q: How can I check if my percentage calculation is reasonable?

Use mental math estimates: 30% is close to $ \frac{1}{3} $, and $ \frac{1}{3} $ of 80 is about 27. Since 24 is close to 27, our answer makes sense!

Q: Is there a shortcut for common percentages?

Yes! Memorize these: 10% = divide by 1025% = divide by 450% = divide by 2 For 30%, you can find 10% first (8) then multiply by 3!

Percentage Calculations with Decimal Conversion

Calculate 30% of 80:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 30% of 80

00:03 Apply the formula to convert percentages to fractions

00:08 This fraction is equal to 30%

00:15 Multiply this fraction by the number itself in order to determine the percentage

00:24 Break down into factors and reduce wherever possible

00:34 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 30% of 80:

Step-by-step solution

To solve the problem of finding 30% of 80, we will use these steps:

Step 1: Convert the percentage to a decimal form by dividing it by 100. So, $30\%$ becomes $\frac{30}{100} = 0.3$ .
Step 2: Multiply the decimal form by the whole number:
$0.3 \times 80$ .
Step 3: Calculate the result of the multiplication:
$0.3 \times 80 = 24$ .

Thus, 30% of 80 is $24$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Convert percentage to decimal by dividing by 100
Technique: Multiply decimal by whole number: 0.3 × 80 = 24
Check: Verify that 24 ÷ 80 = 0.3 = 30% ✓

Common Mistakes

Avoid these frequent errors

Forgetting to convert percentage to decimal first
Don't multiply 30 × 80 = 2400! This gives a massively wrong answer because you're treating 30% as 30 instead of 0.3. Always convert the percentage to decimal form by dividing by 100 before multiplying.

Practice Quiz

Test your knowledge with interactive questions

Calculate 15% of 100:

FAQ

Everything you need to know about this question

Why do I divide by 100 to convert a percentage?

Because percent means 'per hundred'! So 30% literally means 30 out of 100, which equals $\frac{30}{100} = 0.3$ .

Can I use the fraction method instead of decimals?

Absolutely! You can calculate $\frac{30}{100} \times 80 = \frac{30 \times 80}{100} = \frac{2400}{100} = 24$ . Both methods give the same answer!

What if I get a decimal answer instead of a whole number?

That's completely normal! Many percentage calculations result in decimals. For example, 25% of 70 = 17.5, which is a perfectly valid answer.

How can I check if my percentage calculation is reasonable?

Use mental math estimates: 30% is close to $\frac{1}{3}$ , and $\frac{1}{3}$ of 80 is about 27. Since 24 is close to 27, our answer makes sense!

Is there a shortcut for common percentages?

Yes! Memorize these:

10% = divide by 10
25% = divide by 4
50% = divide by 2

For 30%, you can find 10% first (8) then multiply by 3!

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