Calculate 15% of 100: Step-by-Step Percentage Solution

Q: Why do I divide by 100 to convert percentages?

Percent means "per hundred" - so 15% literally means 15 out of 100 parts. Dividing by 100 converts this to the decimal form 0.15 that we can use in calculations.

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

Use estimation! 15% is close to 1/10 (10%), so 15% of 100 should be slightly more than 10. Since we got 15, that makes sense!

Q: Can I use fractions instead of decimals?

Absolutely! $ 15\% = \frac{15}{100} $, so you can calculate: $ \frac{15}{100} \times 100 = 15 $. Both methods give the same answer.

Percentage Calculations with Base Number 100

Calculate 15% of 100:

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 15% of 100:

Step-by-step solution

To find 15% of 100, you can convert the percentage to a decimal by dividing by 100:

$15\% = \frac{15}{100} = 0.15$

Next, multiply this decimal by 100:

$0.15 \times 100 = 15$

Thus, 15% of 100 is 15.

Final Answer

$15$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert percentage to decimal by dividing by 100
Technique: Multiply decimal form: $0.15 \times 100 = 15$
Check: Result should be less than base number for percentages under 100% ✓

Common Mistakes

Avoid these frequent errors

Forgetting to convert percentage to decimal
Don't multiply 15 × 100 directly = 1500 (way too big)! This ignores that percentages are parts of 100, not whole numbers. Always convert to decimal first: 15% = 0.15.

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 percentages?

Percent means "per hundred" - so 15% literally means 15 out of 100 parts. Dividing by 100 converts this to the decimal form 0.15 that we can use in calculations.

Is there a shortcut for percentages of 100?

Yes! When finding a percentage of 100, the answer is simply the percentage number itself. So 15% of 100 = 15, 23% of 100 = 23, etc.

What if I need 15% of a different number?

Use the same method: convert 15% to 0.15, then multiply by your number. For example: $15\% \text{ of } 80 = 0.15 \times 80 = 12$

How can I check if my percentage calculation is reasonable?

Use estimation! 15% is close to 1/10 (10%), so 15% of 100 should be slightly more than 10. Since we got 15, that makes sense!

Can I use fractions instead of decimals?

Absolutely! $15\% = \frac{15}{100}$ , so you can calculate: $\frac{15}{100} \times 100 = 15$ . Both methods give the same answer.

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