Calculate 3% of 100: A Simple Percentage Problem

Q: Why do I divide the percentage by 100?

Because percent means 'per hundred'! When you see 3%, it really means 3 out of every 100, or $ \frac{3}{100} $. Converting to decimal form (0.03) makes multiplication easier.

Q: Can I solve this problem a different way?

Yes! You can think of it as a fraction: $ \frac{3}{100} \times 100 $. Notice how the 100s cancel out, leaving just 3. Both methods give the same answer!

Q: What if the percentage has decimal places?

Same process! For example, 3.5% of 100 would be $ \frac{3.5}{100} \times 100 = 3.5 $. Just be careful with your decimal placement.

Q: How can I check if my answer makes sense?

Ask yourself: "Is my answer smaller than the original number?" Since 3% is less than 100%, your answer (3) should be smaller than the whole number (100). This makes sense!

Q: Why is the answer 3 and not 0.3?

Because we want 3% of 100, not 3% as a decimal. The calculation $ \frac{3}{100} \times 100 = 3 $ gives us the actual amount, which is 3 units.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:02 Let's find 3 percent of 100. This is a common calculation we use everyday.

00:09 First, let's convert 3 percent to a fraction. We write it as 3 over 100.

00:15 So, 3 percent is the same as three hundredths, or 3 divided by 100.

00:21 Now, multiply this fraction by 100: 3 over 100 times 100.

00:27 Let's simplify: the 100s cancel out, leaving us with just 3.

00:32 And there we have it! 3 percent of 100 equals 3. Simple, right?

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

Calculate 3% of 100:

2

Step-by-step solution

To solve this problem, we'll proceed with the following steps:

Step 1: Identify the given information
We are given a percentage of 3% and a whole number of 100.
Step 2: Use the percentage formula
The formula to calculate the percentage of a whole number is given by:
$\text{Percentage value} = \frac{\text{percentage}}{100} \times \text{whole number}$
Step 3: Substitute the values and calculate
Substituting the given values into the formula, we have:
$\frac{3}{100} \times 100 = 3$

Therefore, the 3% of 100 is $3$ .

3

Final Answer

3

Key Points to Remember

Essential concepts to master this topic

Formula: Percentage of number equals (percent ÷ 100) × whole number
Technique: Convert 3% to 0.03, then multiply: 0.03 × 100 = 3
Check: Does 3 represent 3% of 100? Yes, 3 ÷ 100 = 0.03 = 3% ✓

Common Mistakes

Avoid these frequent errors

Forgetting to divide the percentage by 100
Don't use 3 × 100 = 300! This gives a result 100 times too large because you skipped converting the percentage to decimal form. Always divide the percentage by 100 first: 3 ÷ 100 = 0.03, then multiply by the whole number.

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 the percentage by 100?

+

Because percent means 'per hundred'! When you see 3%, it really means 3 out of every 100, or $\frac{3}{100}$ . Converting to decimal form (0.03) makes multiplication easier.

Can I solve this problem a different way?

+

Yes! You can think of it as a fraction: $\frac{3}{100} \times 100$ . Notice how the 100s cancel out, leaving just 3. Both methods give the same answer!

What if the percentage has decimal places?

+

Same process! For example, 3.5% of 100 would be $\frac{3.5}{100} \times 100 = 3.5$ . Just be careful with your decimal placement.

How can I check if my answer makes sense?

+

Ask yourself: "Is my answer smaller than the original number?" Since 3% is less than 100%, your answer (3) should be smaller than the whole number (100). This makes sense!

Why is the answer 3 and not 0.3?

+

Because we want 3% of 100, not 3% as a decimal. The calculation $\frac{3}{100} \times 100 = 3$ gives us the actual amount, which is 3 units.

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