Calculate 12% of 25: Step-by-Step Percentage Solution

Q: Why do I divide by 100 to convert percentages?

Percent means 'per hundred', so 12% literally means 12 out of 100, or $ \frac{12}{100} $. Dividing by 100 converts this to the decimal 0.12.

Q: Can I use the fraction method instead of decimals?

Absolutely! You can calculate $ \frac{12}{100} \times 25 = \frac{12 \times 25}{100} = \frac{300}{100} = 3 $. Both methods give the same answer!

Q: What if the percentage doesn't convert to a nice decimal?

That's fine! For example, 33.33% becomes 0.3333... Just use as many decimal places as needed for accuracy, or keep it as a fraction like $ \frac{1}{3} $.

Q: How can I quickly check if my percentage calculation is reasonable?

Use benchmark percentages! 10% of 25 is 2.5, so 12% should be slightly more than 2.5. Since we got 3, that makes perfect sense!

Q: What's the difference between 'of' and 'more than' in percentage problems?

'12% of 25' means multiply: 0.12 × 25 = 3. But '25 plus 12%' means add: 25 + (0.12 × 25) = 25 + 3 = 28. The word 'of' always means multiply!

Percentage Calculations with Decimal Conversion

Calculate 12% of 25:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:02 Let's find 12 percent of 25.

00:06 First, change 12 percent into a fraction.

00:11 That fraction is twelve over one hundred.

00:16 Now, multiply this fraction by 25.

00:22 Factor and simplify if you can.

00:33 Great job! That's how we solve it!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 12% of 25:

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Convert the percentage to a decimal.
Step 2: Multiply the decimal by the whole number.
Step 3: Verify the solution corresponds to one of the choices.

Now, let's work through each step:

Step 1: Convert 12% to a decimal:
12% is equivalent to $\frac{12}{100} = 0.12$ .

Step 2: Multiply the decimal by 25:
$0.12 \times 25$ .

Step 3: Perform the multiplication:
$0.12 \times 25 = 3$ .

Therefore, the solution to the problem is $3$ .

The correct answer choice is the one labeled with the value 3, which is Choice 3.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Convert percentage to decimal by dividing by 100
Technique: 12% becomes 0.12, then multiply: 0.12 × 25 = 3
Check: Verify 3 is 12% of 25: 3 ÷ 25 = 0.12 = 12% ✓

Common Mistakes

Avoid these frequent errors

Adding percentage directly to the number
Don't add 12 + 25 = 37 thinking that's 12% of 25! This completely ignores the percentage concept and gives a huge wrong answer. Always convert the percentage to decimal first, then multiply.

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 divide by 100 to convert percentages?

Percent means 'per hundred', so 12% literally means 12 out of 100, or $\frac{12}{100}$ . Dividing by 100 converts this to the decimal 0.12.

Can I use the fraction method instead of decimals?

Absolutely! You can calculate $\frac{12}{100} \times 25 = \frac{12 \times 25}{100} = \frac{300}{100} = 3$ . Both methods give the same answer!

What if the percentage doesn't convert to a nice decimal?

That's fine! For example, 33.33% becomes 0.3333... Just use as many decimal places as needed for accuracy, or keep it as a fraction like $\frac{1}{3}$ .

How can I quickly check if my percentage calculation is reasonable?

Use benchmark percentages! 10% of 25 is 2.5, so 12% should be slightly more than 2.5. Since we got 3, that makes perfect sense!

What's the difference between 'of' and 'more than' in percentage problems?

'12% of 25' means multiply: 0.12 × 25 = 3. But '25 plus 12%' means add: 25 + (0.12 × 25) = 25 + 3 = 28. The word 'of' always means multiply!

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