Convert 25/125 to Percentage: Step-by-Step Calculation

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

Percentage means "per hundred" - it's how many parts out of 100. When you have $ \frac{25}{125} = 0.2 $, multiplying by 100 converts this decimal to parts per 100, giving you 20%.

Q: Can I simplify the fraction first before converting?

Absolutely! $ \frac{25}{125} = \frac{1}{5} $ is much easier to work with. Then $ \frac{1}{5} = 0.2 $, and 0.2 × 100 = 20%. Simplifying first often makes the math easier!

Q: How can I check if 20% is the right answer?

Work backwards: 20% of 125 should equal 25. Calculate: $ 0.20 \times 125 = 25 $ ✓ Perfect! This confirms our answer is correct.

Q: Is there a shortcut for this type of problem?

Yes! Notice that $ \frac{25}{125} = \frac{1}{5} $. Since $ \frac{1}{5} = 20\% $ is a common fraction, you can memorize that 1/5 = 20% for faster solving!

Fraction to Percentage with Division Method

Calculate 25 over 125 as a percentage:

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 25 over 125 as a percentage:

Step-by-step solution

In order to determine what percentage 25 is out of 125, we use the formula:

$\frac{\text{Part}}{\text{Whole}} \times 100$

We begin by substituting the given values into the formula:

$\frac{25}{125} \times 100$

We then divide 25 by 125:

$0.2$

Finally we multiply the result by 100 to convert it into a percentage:

$0.2 \times 100 = 20\%$

Thus, 25 is 20% of 125.

Final Answer

20%

Key Points to Remember

Essential concepts to master this topic

Formula: Divide part by whole, then multiply by 100
Technique: $\frac{25}{125} = 0.2$ , then 0.2 × 100 = 20%
Check: 20% of 125 equals $0.2 \times 125 = 25$ ✓

Common Mistakes

Avoid these frequent errors

Multiplying fraction by 100 before simplifying
Don't calculate $\frac{25 \times 100}{125} = \frac{2500}{125}$ first = unnecessary big numbers! This makes division harder and increases error chances. Always simplify the fraction first: $\frac{25}{125} = 0.2$ , then multiply by 100.

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 multiply by 100 to get a percentage?

Percentage means "per hundred" - it's how many parts out of 100. When you have $\frac{25}{125} = 0.2$ , multiplying by 100 converts this decimal to parts per 100, giving you 20%.

Can I simplify the fraction first before converting?

Absolutely! $\frac{25}{125} = \frac{1}{5}$ is much easier to work with. Then $\frac{1}{5} = 0.2$ , and 0.2 × 100 = 20%. Simplifying first often makes the math easier!

What if my fraction doesn't divide evenly?

That's okay! Use long division or a calculator to get the decimal. For example, if you got $\frac{1}{3}$ , that's 0.333... × 100 = 33.33% (rounded).

How can I check if 20% is the right answer?

Work backwards: 20% of 125 should equal 25. Calculate: $0.20 \times 125 = 25$ ✓ Perfect! This confirms our answer is correct.

Is there a shortcut for this type of problem?

Yes! Notice that $\frac{25}{125} = \frac{1}{5}$ . Since $\frac{1}{5} = 20\%$ is a common fraction, you can memorize that 1/5 = 20% for faster solving!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Percentage questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime