Calculate 15% of 200: 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, or $ \frac{15}{100} $. Dividing by 100 converts it to the decimal form: 0.15.

Q: Can I solve this without using decimals?

Yes! You can use fractions: 15% of 200 = $ \frac{15}{100} \times 200 $. The 100 and 200 have a common factor, so $ \frac{15 \times 200}{100} = \frac{15 \times 2}{1} = 30 $.

Q: Do I always multiply when finding percentages?

Yes, when finding 'what is X% of Y' you always multiply. But be careful - if the question asks 'what percent is X of Y' then you divide and multiply by 100!

Percentage Calculations with Decimal Conversion

Calculate 15% of 200:

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Understand the problem

Calculate 15% of 200:

Step-by-step solution

To find 15% of 200, follow these steps:

Convert the percentage to a decimal by dividing by 100: $15\% = 0.15$ .
Multiply the decimal by the whole number: $0.15 \times 200$
Calculate the result: $0.15 \times 200 = 30$
Thus, 15% of 200 is 30.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Convert percentage to decimal by dividing by 100
Technique: 15% becomes 0.15, then multiply: 0.15 × 200 = 30
Check: 30 is 15% of 200 since 30 ÷ 200 × 100 = 15% ✓

Common Mistakes

Avoid these frequent errors

Adding the percentage number instead of multiplying
Don't add 15 + 200 = 215! This completely ignores what percentage means. Always convert the percentage to a decimal first (15% = 0.15), then multiply by the whole number.

Practice Quiz

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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, or $\frac{15}{100}$ . Dividing by 100 converts it to the decimal form: 0.15.

Can I solve this without using decimals?

Yes! You can use fractions: 15% of 200 = $\frac{15}{100} \times 200$ . The 100 and 200 have a common factor, so $\frac{15 \times 200}{100} = \frac{15 \times 2}{1} = 30$ .

How do I know 30 is reasonable for 15% of 200?

Think of benchmarks: 10% of 200 is 20, and 20% of 200 is 40. Since 15% is between 10% and 20%, the answer 30 is between 20 and 40 - that makes sense!

What if the percentage was bigger than the original number?

That's totally fine! If you had 150% of 200, you'd get 300. Percentages over 100% give you answers larger than the original number.

Do I always multiply when finding percentages?

Yes, when finding 'what is X% of Y' you always multiply. But be careful - if the question asks 'what percent is X of Y' then you divide and multiply by 100!

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