Calculate Percentage: What is 3% of 60?

Percentage Calculations with Decimal Conversion

Calculate 3% of 60:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate 3% of 60
00:04 Apply the formula to convert percentages to fractions
00:09 This fraction is equal to 3%
00:17 Multiply the fraction by the number itself in order to determine the percentage
00:23 Proceed to break it down to factors and reduce wherever possible
00:37 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Calculate 3% of 60:

2

Step-by-step solution

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

  • Convert the percentage to a decimal.
  • Multiply this decimal by the given number.
  • Report the result as the percentage value of the number.

Let's apply these steps to our problem:

Step 1: Convert the percentage.

The percentage given is 3%. We convert this to a decimal by dividing by 100: 3100=0.03 \frac{3}{100} = 0.03 .

Step 2: Multiply by the total number.

We multiply this decimal by the number 60 to find the percentage of the total:

0.03×60=1.8 0.03 \times 60 = 1.8 .

Thus, 3% of 60 is 1.8 1.8 .

3

Final Answer

1.8

Key Points to Remember

Essential concepts to master this topic
  • Rule: Convert percentage to decimal by dividing by 100
  • Technique: Multiply decimal by total: 0.03 × 60 = 1.8
  • Check: Verify 1.8 is 3% of 60: (1.8 ÷ 60) × 100 = 3% ✓

Common Mistakes

Avoid these frequent errors
  • Multiplying percentage directly without converting to decimal
    Don't multiply 3 × 60 = 180! This gives you 3 times the number, not 3 percent of it. The percentage symbol means 'per hundred', so you must divide by 100 first. Always convert the percentage to decimal form before multiplying.

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?

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The word percent means 'per hundred'! So 3% literally means 3 per 100, or 3100=0.03 \frac{3}{100} = 0.03 . This decimal form makes multiplication much easier.

What if I forget to convert and just multiply 3 × 60?

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You'll get 180, which is way too big! Remember: 3% should give you a small piece of 60, not three times bigger. Always convert first to avoid this huge error.

Can I use the formula method instead?

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Yes! The formula is: Percentage of Number = (Percent ÷ 100) × Number. For this problem: (3 ÷ 100) × 60 = 0.03 × 60 = 1.8

How do I know if 1.8 is reasonable for 3% of 60?

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Think logically: 3% is a small percentage, so the answer should be much smaller than 60. Since 1.8 < 60, it makes sense! Also, 10% of 60 = 6, so 3% should be less than 6.

What's the easiest way to check my answer?

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Divide your answer by the original number, then multiply by 100: 1.860×100=0.03×100=3% \frac{1.8}{60} \times 100 = 0.03 \times 100 = 3\%

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