Calculate 8% of 100: Step-by-Step Percentage Problem

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

The percent symbol (%) means "per hundred", so 8% literally means 8 out of 100, or $ \frac{8}{100} $. Dividing by 100 converts this to the decimal 0.08.

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

That's completely normal! Many percentage calculations result in decimals. For example, 7% of 100 would be 7, but 7% of 50 would be 3.5.

Q: Is there a shortcut for finding percentages of 100?

Yes! When finding a percentage of 100, the answer is always the same as the percentage number. So 8% of 100 = 8, 25% of 100 = 25, etc.

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

Use estimation: 8% is close to 10%, and 10% of 100 is 10. So 8% should be slightly less than 10, making 8 a reasonable answer.

Q: What's the difference between 8% of 100 and 100% of 8?

They give the same answer! This is because multiplication is commutative: 0.08 × 100 = 1.00 × 8 = 8. Both calculations equal 8.

Percentage Calculations with Decimal Conversion

Calculate 8% of 100:

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Step-by-step written solution

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Understand the problem

Calculate 8% of 100:

Step-by-step solution

To find 8% of 100, first convert the percentage to a decimal by dividing by 100:

$8\% = \frac{8}{100} = 0.08$

Then, multiply this decimal by 100:

$0.08 \times 100 = 8$

Hence, 8% of 100 is 8.

Final Answer

$8$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert percentage to decimal by dividing by 100
Technique: Multiply decimal by number: 0.08 × 100 = 8
Check: Answer makes sense: 8% is less than 10%, so 8 < 10 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to convert percentage to decimal first
Don't multiply 8 × 100 = 800! This gives a wildly incorrect answer because you skipped the conversion step. Always convert the percentage to decimal first by dividing by 100, then multiply.

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?

The percent symbol (%) means "per hundred", so 8% literally means 8 out of 100, or $\frac{8}{100}$ . Dividing by 100 converts this to the decimal 0.08.

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

That's completely normal! Many percentage calculations result in decimals. For example, 7% of 100 would be 7, but 7% of 50 would be 3.5.

Is there a shortcut for finding percentages of 100?

Yes! When finding a percentage of 100, the answer is always the same as the percentage number. So 8% of 100 = 8, 25% of 100 = 25, etc.

How can I check if my percentage calculation is reasonable?

Use estimation: 8% is close to 10%, and 10% of 100 is 10. So 8% should be slightly less than 10, making 8 a reasonable answer.

What's the difference between 8% of 100 and 100% of 8?

They give the same answer! This is because multiplication is commutative: 0.08 × 100 = 1.00 × 8 = 8. Both calculations equal 8.

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