Calculate the Exact Percentage of 270 Over 50: A Linear Approach

Q: Why is the percentage over 100%?

When a number is larger than the base, the percentage will exceed 100%! Since 270 is more than 5 times larger than 50, we get 540% - this is completely normal.

Q: How do I remember which number goes on top?

Think: "What percentage is [this number] of [base number]?" The first number (270) goes on top of the fraction, the second number (50) goes on bottom.

Q: Can I simplify the fraction before multiplying by 100?

Absolutely! $\frac{270}{50}$ simplifies to $\frac{27}{5}$ or 5.4. Either way gives you the same answer when multiplied by 100.

Q: What does 540% really mean?

540% means 5.4 times the original amount. So 270 is 5.4 times bigger than 50, which you can verify: $5.4 \times 50 = 270$.

Q: How do I check if my percentage calculation is correct?

Work backwards! Take your percentage and convert it back: $540\% \text{ of } 50 = 5.4 \times 50 = 270$. If you get your original number, you're right!

Percentage Calculations with Numbers Greater than Base

What is the percentage of 270 over 50?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's calculate what 270 is out of 50, as a percentage.

00:10 To find a percentage, use this formula.

00:15 Divide two-seventy by fifty, then multiply by one hundred.

00:20 Think of two-seventy as fifty times five point four.

00:28 Simplify it, if you can.

00:33 And there you have it, that's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

What is the percentage of 270 over 50?

Step-by-step solution

To express 270 as a percentage of 50, let's use the formula for converting a fraction to a percentage:

Step 1: Calculate the fraction $\frac{270}{50}$ .
This simplifies to $5.4$ because dividing 270 by 50 yields 5.4.
Step 2: Convert the fraction to a percentage by multiplying by 100:
$\text{Percentage} = 5.4 \times 100 = 540\%$

Therefore, 270 is 540% of 50.

Thus, the correct answer is $540\%$ .

Final Answer

540%

Key Points to Remember

Essential concepts to master this topic

Formula: Percentage = $\frac{\text{Part}}{\text{Whole}} \times 100$
Technique: Calculate $\frac{270}{50} = 5.4$ , then multiply by 100
Check: Verify 540% of 50: $5.4 \times 50 = 270$ ✓

Common Mistakes

Avoid these frequent errors

Dividing the base by the number instead of number by base
Don't calculate 50 ÷ 270 = 0.185 × 100 = 18.5%! This reverses the relationship and gives a percentage far too small. Always divide the number you're finding the percentage of by the base value: 270 ÷ 50.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{2}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why is the percentage over 100%?

When a number is larger than the base, the percentage will exceed 100%! Since 270 is more than 5 times larger than 50, we get 540% - this is completely normal.

How do I remember which number goes on top?

Think: "What percentage is [this number] of [base number]?" The first number (270) goes on top of the fraction, the second number (50) goes on bottom.

Can I simplify the fraction before multiplying by 100?

Absolutely! $\frac{270}{50}$ simplifies to $\frac{27}{5}$ or 5.4. Either way gives you the same answer when multiplied by 100.

What does 540% really mean?

540% means 5.4 times the original amount. So 270 is 5.4 times bigger than 50, which you can verify: $5.4 \times 50 = 270$ .

How do I check if my percentage calculation is correct?

Work backwards! Take your percentage and convert it back: $540\% \text{ of } 50 = 5.4 \times 50 = 270$ . If you get your original number, you're right!

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