Calculate the Percentage: How Much is 130 Over 25?

Q: Why is the answer over 100%?

When a number is larger than the base, the percentage will always be over 100%! Since 130 is bigger than 25, we get 520%, which means 130 is more than 5 times the size of 25.

Q: How can I remember which number goes where in the fraction?

Think of it as "What is of What". The first 'what' (130) goes on top, and the second 'what' (25) goes on bottom. So we get $ \frac{130}{25} $.

Q: What does 520% actually mean?

520% means 130 is 5.2 times larger than 25. It's like saying 25 would need to be multiplied by 5.2 to equal 130!

Q: Can I use a calculator for this?

Absolutely! Just make sure to divide first (130 ÷ 25 = 5.2), then multiply by 100 (5.2 × 100 = 520). Don't forget that final multiplication step!

Q: Is there a shortcut when the bottom number divides evenly?

Yes! Since $ \frac{130}{25} = \frac{26}{5} = 5.2 $, you can see that 130 = 26 × 5 and 25 = 5 × 5, so the answer is 26 × 20% = 520%.

Percentage Calculations with Values Over 100

What is the percentage of 130 over 25?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 130 as a percentage of 25

00:05 Apply the formula to calculate percentages

00:10 Divide one number by the other and proceed to multiply by 100

00:15 Break down 130 into factors of 25 and 5.2

00:25 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

What is the percentage of 130 over 25?

Step-by-step solution

To solve this problem, we will express 130 as a percentage of 25 using the formula for percentages. Let's follow these steps:

Step 1: Divide 130 by 25 to determine the fraction.
$\frac{130}{25} = 5.2$
Step 2: Multiply the result from Step 1 by 100 to convert it to a percentage.
$5.2 \times 100 = 520\%$

Therefore, 130 is 520% of 25.

Final Answer

520%

Key Points to Remember

Essential concepts to master this topic

Formula: To find what percent A is of B: $\frac{A}{B} \times 100\%$
Technique: Divide first: $\frac{130}{25} = 5.2$ , then multiply by 100
Check: Verify: 520% of 25 = $5.2 \times 25 = 130$ ✓

Common Mistakes

Avoid these frequent errors

Confusing which number goes in numerator vs denominator
Don't put 25 over 130 when finding what percent 130 is of 25 = gets 19.2% instead of 520%! This reverses the comparison completely. Always put the number you're comparing (130) in the numerator and the base number (25) in the denominator.

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 answer over 100%?

When a number is larger than the base, the percentage will always be over 100%! Since 130 is bigger than 25, we get 520%, which means 130 is more than 5 times the size of 25.

How can I remember which number goes where in the fraction?

Think of it as "What is of What". The first 'what' (130) goes on top, and the second 'what' (25) goes on bottom. So we get $\frac{130}{25}$ .

What does 520% actually mean?

520% means 130 is 5.2 times larger than 25. It's like saying 25 would need to be multiplied by 5.2 to equal 130!

Can I use a calculator for this?

Absolutely! Just make sure to divide first (130 ÷ 25 = 5.2), then multiply by 100 (5.2 × 100 = 520). Don't forget that final multiplication step!

Is there a shortcut when the bottom number divides evenly?

Yes! Since $\frac{130}{25} = \frac{26}{5} = 5.2$ , you can see that 130 = 26 × 5 and 25 = 5 × 5, so the answer is 26 × 20% = 520%.

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