Convert 25 over 100 to Percentage: Step-by-Step Solution

Q: Why do I multiply by 100 to get a percentage?

Percentage means "per hundred" - so we're finding how many parts out of 100. When you multiply a decimal like 0.25 by 100, you're converting it to 25 parts per hundred, which is 25%.

Q: Is 25/100 the same as 25%?

Yes! $ \frac{25}{100} $ as a fraction, 0.25 as a decimal, and 25% are all three ways to write the same value. They're equivalent representations of the same amount.

Q: What if the denominator isn't 100?

Use the same formula! For example, $ \frac{3}{4} = \frac{3}{4} \times 100\% = 75\% $. The formula always works regardless of the denominator.

Q: Can I simplify 25/100 before converting?

Absolutely! $ \frac{25}{100} = \frac{1}{4} $, and $ \frac{1}{4} \times 100\% = 25\% $. Simplifying often makes the calculation easier.

Q: How do I remember when to use this formula?

Whenever you see "what percentage is [part] of [whole]" or "[part] out of [whole] as a percentage," use $ \frac{\text{part}}{\text{whole}} \times 100\% $.

Percentage Conversion with Basic Fractions

Calculate 25 over 100 as a percentage:

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 25 over 100 as a percentage:

Step-by-step solution

In order to determine what percentage 25 is out of 100, we use the following formula:

$\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100\%$

We begin by substituting in the known values:

$\text{Percentage} = \frac{25}{100} \times 100\% = 25\%$

Thus, 25 out of 100 is $25\%$ .

Final Answer

25%

Key Points to Remember

Essential concepts to master this topic

Formula: Percentage equals part divided by whole times 100
Technique: $\frac{25}{100} \times 100\% = 25\%$ by simplifying first
Check: Verify 25% of 100 equals 25: 0.25 × 100 = 25 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100 when converting fractions
Don't just write 25/100 = 0.25 as your final answer! This gives a decimal, not a percentage. The decimal 0.25 means 25 out of 100, but you must multiply by 100% to express it as 25%.

Practice Quiz

Test your knowledge with interactive questions

Calculate 15% of 100:

FAQ

Everything you need to know about this question

Why do I multiply by 100 to get a percentage?

Percentage means "per hundred" - so we're finding how many parts out of 100. When you multiply a decimal like 0.25 by 100, you're converting it to 25 parts per hundred, which is 25%.

Is 25/100 the same as 25%?

Yes! $\frac{25}{100}$ as a fraction, 0.25 as a decimal, and 25% are all three ways to write the same value. They're equivalent representations of the same amount.

What if the denominator isn't 100?

Use the same formula! For example, $\frac{3}{4} = \frac{3}{4} \times 100\% = 75\%$ . The formula always works regardless of the denominator.

Can I simplify 25/100 before converting?

Absolutely! $\frac{25}{100} = \frac{1}{4}$ , and $\frac{1}{4} \times 100\% = 25\%$ . Simplifying often makes the calculation easier.

How do I remember when to use this formula?

Whenever you see "what percentage is [part] of [whole]" or "[part] out of [whole] as a percentage," use $\frac{\text{part}}{\text{whole}} \times 100\%$ .

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