Calculate Percentage: Finding What Percent 38 is of 190

Q: How do I remember which number goes on top in the fraction?

The number after "what percent" goes on top (numerator), and the number after "of" goes on bottom (denominator). So "what percent 38 is of 190" means $ \frac{38}{190} $.

Q: Why do I multiply by 100 at the end?

Percent means "per hundred" - so we multiply the decimal by 100 to convert it. For example: 0.2 becomes 0.2 × 100 = 20%.

Q: What if my decimal doesn't come out evenly?

That's normal! Just round to a reasonable number of decimal places (usually 1-2) or leave as a fraction if the problem asks for an exact answer.

Q: Can the percentage be over 100%?

Yes, when the part is larger than the whole! For example, 380 is 200% of 190. But in this problem, since 38

Q: How can I double-check my work?

Take your percentage answer and find that percent of the whole number. You should get back to your original part: 20% of 190 = 0.20 × 190 = 38 ✓

Q: What's the quickest way to simplify the fraction first?

Look for common factors! Both 38 and 190 are divisible by 38: $ \frac{38}{190} = \frac{1}{5} = 0.2 $, which makes the math easier.

Percentage Calculations with Fraction Division

What is the percentage of 38 over 190?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 38 as a percentage of 190

00:05 Apply the formula to calculate percentages

00:10 Divide one number by the other and proceed to multiply by 100

00:15 Break down 190 into factors of 38 and 5

00:25 Reduce wherever possible

00:30 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

What is the percentage of 38 over 190?

Step-by-step solution

To solve the problem, we will express 38 as a percentage of 190 by applying the percentage formula:

Step 1: Identify the numbers given. We have $\text{Part} = 38$ and $\text{Whole} = 190$ .

Step 2: Calculate the decimal equivalent by dividing the part by the whole:

$\frac{38}{190}$

Perform the division:

$\frac{38}{190} = 0.2$

Step 3: Convert the decimal to a percentage by multiplying by 100:

$0.2 \times 100 = 20 \%$

Therefore, 38 is 20% of 190. Hence, the correct choice from the options given is 20%.

Final Answer

20%

Key Points to Remember

Essential concepts to master this topic

Formula: Percentage = (Part ÷ Whole) × 100
Technique: Divide 38 by 190 to get 0.2, then multiply by 100
Check: Verify that 20% of 190 equals 38: 0.20 × 190 = 38 ✓

Common Mistakes

Avoid these frequent errors

Confusing which number is the part versus the whole
Don't divide 190 by 38 = 500%! This reverses the fraction and gives an impossible result over 100% when asking what percent 38 is of 190. Always divide the smaller part (38) by the larger whole (190).

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{2}{100}=\text{?}$

FAQ

Everything you need to know about this question

How do I remember which number goes on top in the fraction?

The number after "what percent" goes on top (numerator), and the number after "of" goes on bottom (denominator). So "what percent 38 is of 190" means $\frac{38}{190}$ .

Why do I multiply by 100 at the end?

Percent means "per hundred" - so we multiply the decimal by 100 to convert it. For example: 0.2 becomes 0.2 × 100 = 20%.

What if my decimal doesn't come out evenly?

That's normal! Just round to a reasonable number of decimal places (usually 1-2) or leave as a fraction if the problem asks for an exact answer.

Can the percentage be over 100%?

Yes, when the part is larger than the whole! For example, 380 is 200% of 190. But in this problem, since 38 < 190, we expect an answer less than 100%.

How can I double-check my work?

Take your percentage answer and find that percent of the whole number. You should get back to your original part: 20% of 190 = 0.20 × 190 = 38 ✓

What's the quickest way to simplify the fraction first?

Look for common factors! Both 38 and 190 are divisible by 38: $\frac{38}{190} = \frac{1}{5} = 0.2$ , which makes the math easier.

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