Calculate 25% of 80: Step-by-Step Percentage Solution

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

Percent means 'per hundred' - so 25% literally means 25 out of 100, or $ \frac{25}{100} $. Dividing by 100 converts this to the decimal 0.25.

Q: Can I calculate 25% a different way?

Yes! Since 25% equals $ \frac{1}{4} $, you can divide 80 by 4 to get 20. Both methods work: 0.25 × 80 or 80 ÷ 4.

Q: How can I check if 20 is really 25% of 80?

Divide your answer by the original number: $ \frac{20}{80} = 0.25 $. Then multiply by 100: 0.25 × 100 = 25%. Perfect match!

Q: Is there a shortcut for common percentages?

10% = move decimal one place left25% = divide by 450% = divide by 275% = multiply by 3, then divide by 4

Percentage Calculations with Decimal Conversion

Calculate 25% of 80:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 25% of 80

00:03 Apply the formula to convert percentages to fractions

00:08 This fraction is equal to 25%

00:16 Multiply the fraction by the number itself in order to determine the percentage

00:26 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 25% of 80:

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Convert the percentage (25%) to a decimal.
Step 2: Multiply the decimal by the whole number (80).
Step 3: Calculate the result.

Now, let's work through each step:
Step 1: Convert 25% to a decimal. To do this, divide by 100:
$\frac{25}{100} = 0.25$
Step 2: Multiply the decimal by the whole number:
$0.25 \times 80$
Step 3: Perform the multiplication:
$0.25 \times 80 = 20$

Therefore, the solution to the problem is $20$ .

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: 0.25 × 80 = 20
Check: Verify 20 is one-fourth of 80: 20 × 4 = 80 ✓

Common Mistakes

Avoid these frequent errors

Adding percentage directly to the number
Don't add 25 + 80 = 105! This treats percentage as a regular number instead of a portion. Always convert percentage to decimal first, then multiply by the whole number.

Practice Quiz

Test your knowledge with interactive questions

Calculate 30 over 100 as a percentage:

FAQ

Everything you need to know about this question

Why do I divide by 100 to convert a percentage?

Percent means 'per hundred' - so 25% literally means 25 out of 100, or $\frac{25}{100}$ . Dividing by 100 converts this to the decimal 0.25.

Can I calculate 25% a different way?

Yes! Since 25% equals $\frac{1}{4}$ , you can divide 80 by 4 to get 20. Both methods work: 0.25 × 80 or 80 ÷ 4.

What if I get a decimal answer?

That's normal! Not all percentage calculations result in whole numbers. For example, 33% of 80 would be 26.4. Just make sure to round appropriately if needed.

How can I check if 20 is really 25% of 80?

Divide your answer by the original number: $\frac{20}{80} = 0.25$ . Then multiply by 100: 0.25 × 100 = 25%. Perfect match!

Is there a shortcut for common percentages?

10% = move decimal one place left
25% = divide by 4
50% = divide by 2
75% = multiply by 3, then divide by 4

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