Calculate 30% of 60: Step-by-Step Percentage Problem

Q: Why do I divide by 100 to convert a percentage?

Percent means "per hundred"! So 30% literally means $ \frac{30}{100} $ or 0.30. Dividing by 100 converts the percentage to its decimal form.

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

Absolutely! You can calculate $ \frac{30}{100} \times 60 = \frac{1800}{100} = 18 $. Both methods give the same answer - use whichever feels easier!

Q: How can I check if 18 is really 30% of 60?

Work backwards! Divide your answer by the original number: 18 ÷ 60 = 0.3. Convert to percentage: 0.3 × 100 = 30%. Perfect match!

Q: Is there a shortcut for common percentages?

Yes! Learn these key ones: 10% = divide by 1025% = divide by 450% = divide by 2For 30% of 60: think 10% of 60 = 6, so 30% = 3 × 6 = 18!

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:02 Let's find 30% of 60. I'll show you how to solve this step by step.

00:08 First, let's convert 30% into a fraction. Remember, to change a percentage to a fraction, we divide by 100.

00:17 So, 30% becomes 30 over 100, which simplifies to 3 over 10.

00:23 Now, to find 30% of 60, we multiply 60 by our fraction, three-tenths.

00:30 Let's multiply: 60 times 3 equals 180, then divide by 10. That gives us 18.

00:47 And there we have it! 30% of 60 equals 18. Nice work following along!

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

Calculate 30% of 60:

2

Step-by-step solution

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

Step 1: Identify the given percentage and whole number.
Step 2: Convert the percentage into a fraction.
Step 3: Multiply the fraction by the whole number.

Now, let's work through each step:
Step 1: We are given a percentage of 30% and a whole number of 60.
Step 2: Convert 30% to a fraction: $\frac{30}{100}$ .
Step 3: Multiply the fraction by 60: $\frac{30}{100} \times 60$ .

Performing the calculation, we get:

$\frac{30}{100} \times 60 = 0.3 \times 60 = 18$ .

Thus, 30% of 60 is $\textbf{18}$ .

3

Final Answer

18

Key Points to Remember

Essential concepts to master this topic

Rule: Convert percentage to decimal by dividing by 100
Technique: Change 30% to 0.3, then multiply: 0.3 × 60 = 18
Check: Verify 18 is 30% of 60: 18 ÷ 60 = 0.3 = 30% ✓

Common Mistakes

Avoid these frequent errors

Forgetting to convert percentage to decimal
Don't multiply 30 × 60 = 1800 directly! This gives an answer 100 times too large because you forgot to convert the percentage. Always divide by 100 first: 30% = 30 ÷ 100 = 0.3.

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 a percentage?

+

Percent means "per hundred"! So 30% literally means $\frac{30}{100}$ or 0.30. Dividing by 100 converts the percentage to its decimal form.

Can I use the fraction method instead of decimals?

+

Absolutely! You can calculate $\frac{30}{100} \times 60 = \frac{1800}{100} = 18$ . Both methods give the same answer - use whichever feels easier!

What if I get a decimal answer instead of a whole number?

+

That's completely normal! Many percentage problems result in decimals. For example, 25% of 70 = 17.5. Just make sure your decimal is reasonable for the context.

How can I check if 18 is really 30% of 60?

+

Work backwards! Divide your answer by the original number: 18 ÷ 60 = 0.3. Convert to percentage: 0.3 × 100 = 30%. Perfect match!

Is there a shortcut for common percentages?

+

Yes! Learn these key ones:

10% = divide by 10
25% = divide by 4
50% = divide by 2

For 30% of 60: think 10% of 60 = 6, so 30% = 3 × 6 = 18!

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