What is 8 9/25 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: First, convert the mixed fraction 8 9/25 into an improper fraction.

8 9/25 = (8 × 25 + 9)/25 = 209/25

Step 2: Divide the numerator (209) by the denominator (25).

209 ÷ 25 = 8.36

Step 3: Multiply the result by 100 to convert to a percentage.

8.36 × 100 = 836%

So, 8 9/25 as a percent is 836%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: Convert the mixed number 8 9/25 into an improper fraction.

8 9/25 = 209/25

Step 2: Divide the numerator by the denominator.

209 ÷ 25 = 8.36

Step 3: Multiply by 100 to get the percentage.

8.36 × 100 = 836%

The final result is 836%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 209/25 is equal to x/100.

209/25 = x/100

Step 2: Cross-multiply to solve for x.

209 × 100 = 25 × x

20900 = 25x

Step 3: Divide both sides by 25 to solve for x.

x = 20900 ÷ 25 = 836

So, 8 9/25 as a percent is 836%.