Solve for 20% of 100: Step-by-Step Percentage Calculation

Q: Why do I need to convert 20% to 0.2?

The % symbol means 'per hundred', so 20% literally means 20/100 = 0.2. You must convert to decimal form before multiplying to get the correct answer.

Q: Is there a shortcut for finding percentages?

Yes! For simple percentages, you can think: 20% of 100 is the same as asking 'what is 1/5 of 100?' Since 100 ÷ 5 = 20, the answer is 20.

Q: What if I get confused about which number to multiply?

Remember the pattern: [percentage as decimal] × [whole number]. So for '20% of 100', it's always 0.2 × 100, never 100 × 20.

Q: How can I check if 20 is the right answer?

Ask yourself: 'Does 20 out of 100 equal 20%?' Since 20/100 = 0.2 = 20%, yes! Your answer checks out.

Q: Why did I get 2000 when I calculated 20 × 100?

You forgot to convert the percentage! 20% ≠ 20. The % symbol means you must divide by 100 first: 20% = 20 ÷ 100 = 0.2.

Percentage Calculations with Decimal Conversion

Calculate 20% of 100:

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Step-by-step written solution

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Understand the problem

Calculate 20% of 100:

Step-by-step solution

In order to determine 20% of 100, we begin by converting the percentage into a decimal and then proceed to multiply by the whole number. First, convert 20% to a decimal: $20\% = 0.2$

Next, multiply this decimal by 100 to find the percentage of the whole number: $0.2 \times 100 = 20$

Thus, 20% of 100 is $20$ .

Final Answer

$20$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert percentage to decimal by dividing by 100
Technique: 20% becomes 0.2, then multiply: 0.2 × 100 = 20
Check: Does 20 out of 100 equal one-fifth? Yes ✓

Common Mistakes

Avoid these frequent errors

Keeping percentage as whole number in calculation
Don't multiply 20 × 100 = 2000! This treats 20% as 20, which is completely wrong. The % symbol means 'divide by 100', so 20% = 0.2. Always convert percentages to decimals first.

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 convert 20% to 0.2?

The % symbol means 'per hundred', so 20% literally means 20/100 = 0.2. You must convert to decimal form before multiplying to get the correct answer.

Is there a shortcut for finding percentages?

Yes! For simple percentages, you can think: 20% of 100 is the same as asking 'what is 1/5 of 100?' Since 100 ÷ 5 = 20, the answer is 20.

What if I get confused about which number to multiply?

Remember the pattern: [percentage as decimal] × [whole number]. So for '20% of 100', it's always 0.2 × 100, never 100 × 20.

How can I check if 20 is the right answer?

Ask yourself: 'Does 20 out of 100 equal 20%?' Since 20/100 = 0.2 = 20%, yes! Your answer checks out.

Why did I get 2000 when I calculated 20 × 100?

You forgot to convert the percentage! 20% ≠ 20. The % symbol means you must divide by 100 first: 20% = 20 ÷ 100 = 0.2.

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