Calculate Percentage: Converting 17 over 68 to Percent Form

Q: Why do I multiply by 100 to get a percentage?

Percent means "per hundred" - so multiplying by 100 converts your decimal to "parts per 100." For example, 0.25 becomes 25 parts per 100, or 25%.

Q: What if I get a decimal that doesn't end nicely?

Round to a reasonable number of decimal places, usually one or two. For example, 0.3333... becomes 33.3% or 33%.

Q: Can the percentage be over 100%?

Yes! If the part is larger than the whole, you'll get over 100%. But in this problem, 17 is smaller than 68, so we expect less than 100%.

Q: Is there a shortcut for this calculation?

Look for common factors first! Since 17 × 4 = 68, we know $ \frac{17}{68} = \frac{1}{4} = 0.25 = 25% $ without long division.

Q: How do I check if 25% is correct?

Calculate 25% of 68: $ 0.25 \times 68 = 17 $. Since this equals our original part, 25% is correct!

Fraction to Percentage with Basic Division

What is the percentage of 17 over 68?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's figure out what 17 is, as a percentage of 68.

00:09 To calculate a percentage, we use a simple formula.

00:14 First, divide 17 by 68, then multiply the result by 100.

00:20 Notice that 68 can be split into factors: 17 and 4.

00:25 Simplify wherever you can to make it easier.

00:29 And there you go, you've found the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

What is the percentage of 17 over 68?

Step-by-step solution

We need to determine what percentage 17 is of 68. To find this, we'll use the formula to convert a fraction to a percentage:

\text{Percentage} = \left(\frac{\text{part}}{\text{whole}}\right) \times 100\%

Step 1: Identify the given values.
The part is 17, and the whole is 68.
Step 2: Apply the formula.
First, calculate the division: $\frac{17}{68}$ .
Step 3: Perform the division.
Calculate $\frac{17}{68}$ which gives approximately $0.25$ .
Step 4: Convert the fraction to a percentage.
Multiply the result by 100: $0.25 \times 100 = 25\%$ .

Therefore, the percentage of 17 over 68 is 25%.

Final Answer

25%

Key Points to Remember

Essential concepts to master this topic

Formula: Divide part by whole, then multiply by 100
Technique: Calculate $\frac{17}{68} = 0.25$ , then 0.25 × 100 = 25%
Check: 25% of 68 should equal 17: 0.25 × 68 = 17 ✓

Common Mistakes

Avoid these frequent errors

Putting the larger number in the numerator
Don't calculate $\frac{68}{17}$ = 400%! This gives an impossible result over 100%. Always put the part (17) over the whole (68) to get the correct fraction.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{24}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why do I multiply by 100 to get a percentage?

Percent means "per hundred" - so multiplying by 100 converts your decimal to "parts per 100." For example, 0.25 becomes 25 parts per 100, or 25%.

What if I get a decimal that doesn't end nicely?

Round to a reasonable number of decimal places, usually one or two. For example, 0.3333... becomes 33.3% or 33%.

Can the percentage be over 100%?

Yes! If the part is larger than the whole, you'll get over 100%. But in this problem, 17 is smaller than 68, so we expect less than 100%.

Is there a shortcut for this calculation?

Look for common factors first! Since 17 × 4 = 68, we know $\frac{17}{68} = \frac{1}{4} = 0.25 = 25%$ without long division.

How do I check if 25% is correct?

Calculate 25% of 68: $0.25 \times 68 = 17$ . Since this equals our original part, 25% is correct!

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