Calculate 2% of 60: Basic Percentage Problem Solving

Q: Why do I need to divide the percentage by 100?

Because percent means 'per hundred'! When you see 2%, it actually means 2 out of 100, or $ \frac{2}{100} $. Converting to decimal (0.02) makes the multiplication easier.

Q: Can I use a different method to solve this?

Yes! You can set up a proportion: $ \frac{2}{100} = \frac{x}{60} $. Cross-multiply to get 100x = 120, so x = 1.2. Both methods give the same answer!

Q: How do I check if 1.2 is really 2% of 60?

Work backwards! Divide your answer by the original number: 1.2 ÷ 60 = 0.02. Then convert to percentage: 0.02 × 100 = 2%. Perfect match!

Q: What if the percentage was a bigger number like 25%?

Same process! Convert 25% to decimal: $ \frac{25}{100} = 0.25 $. Then multiply: 0.25 × 60 = 15. The method never changes, just the numbers.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 2% of 60

00:04 Apply the formula to convert percentages to fractions

00:10 This fraction is equal to 2%

00:15 Multiply this fraction by the number itself in order to determine the percentage

00:23 Proceed to break down into factors and reduce wherever possible

00:36 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

Calculate 2% of 60:

2

Step-by-step solution

To calculate 2% of 60, follow these steps:

Step 1: Use the percentage formula: $\text{Percentage value} = \frac{p}{100} \times W$ .
Step 2: Substitute the given values: Here, $p = 2$ and $W = 60$ .
Step 3: Perform the calculation: $\frac{2}{100} \times 60 = 0.02 \times 60$ .
Step 4: Multiply: $0.02 \times 60 = 1.2$ .

Therefore, 2% of 60 is $1.2$ .

The correct choice from the provided options is :

1.2

.

3

Final Answer

1.2

Key Points to Remember

Essential concepts to master this topic

Formula: Percentage value = (p/100) × W where p is percent
Technique: Convert 2% to decimal: 2/100 = 0.02, then multiply by 60
Check: Verify 1.2 is 2% of 60: (1.2 ÷ 60) × 100 = 2% ✓

Common Mistakes

Avoid these frequent errors

Forgetting to convert percentage to decimal
Don't multiply 2 × 60 = 120! This treats the percentage as a whole number instead of 2%. Always convert the percentage to a decimal first by dividing by 100, 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 need to divide the percentage by 100?

+

Because percent means 'per hundred'! When you see 2%, it actually means 2 out of 100, or $\frac{2}{100}$ . Converting to decimal (0.02) makes the multiplication easier.

Can I use a different method to solve this?

+

Yes! You can set up a proportion: $\frac{2}{100} = \frac{x}{60}$ . Cross-multiply to get 100x = 120, so x = 1.2. Both methods give the same answer!

How do I check if 1.2 is really 2% of 60?

+

Work backwards! Divide your answer by the original number: 1.2 ÷ 60 = 0.02. Then convert to percentage: 0.02 × 100 = 2%. Perfect match!

What if the percentage was a bigger number like 25%?

+

Same process! Convert 25% to decimal: $\frac{25}{100} = 0.25$ . Then multiply: 0.25 × 60 = 15. The method never changes, just the numbers.

Why is my answer a decimal instead of a whole number?

+

That's completely normal! Not all percentage calculations result in whole numbers. Since we're taking a small percentage (2%) of 60, getting 1.2 makes perfect sense.

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