Calculate Percentage: Converting 17 over 68 to Percent Form

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
00:00 Calculate 17 as a percentage of 68
00:05 Apply the formula for calculating percentages
00:10 Divide one number by the other and proceed to multiply by 100
00:15 Break down 68 into factors of 17 and 4
00:20 Reduce wherever possible
00:24 This is the solution

Step-by-step written solution

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1

Understand the problem

What is the percentage of 17 over 68?

2

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:

Percentage=(partwhole)×100% \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: 1768\frac{17}{68}.
  • Step 3: Perform the division.
    Calculate 1768\frac{17}{68} which gives approximately 0.250.25.
  • Step 4: Convert the fraction to a percentage.
    Multiply the result by 100: 0.25×100=25%0.25 \times 100 = 25\%.

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

3

Final Answer

25%

Practice Quiz

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Convert the fraction into a percentage:

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

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