Calculate Percentage: Finding What Percent 38 is of 190

What is the percentage of 38 over 190?

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Step-by-step video solution

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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

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1

Understand the problem

What is the percentage of 38 over 190?

2

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 Part=38 \text{Part} = 38 and Whole=190 \text{Whole} = 190 .

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

38190 \frac{38}{190}

Perform the division:

38190=0.2 \frac{38}{190} = 0.2

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

0.2×100=20% 0.2 \times 100 = 20 \%

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

3

Final Answer

20%

Practice Quiz

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Convert the fraction into a percentage:

\( \frac{2}{100}=\text{?} \)

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