Calculate Percentage: Converting 17 over 68 to Percent Form

Question

What is the percentage of 17 over 68?

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

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%.

25%