What is 8 1/4 as a percent?

To convert a fraction to a percent, divide the numerator by the denominator to get a decimal, then multiply the result by 100. This gives the equivalent percentage of the fraction.

Convert the Fraction 8 1/4 into Percent.

8 1/4 as a percent is 825%

Method 1: Convert Fraction to Percent Directly

Step 1: First, convert the mixed number into an improper fraction: 8 1/4 = 33/4.

Step 2: Divide the numerator (33) by the denominator (4).

33 ÷ 4 = 8.25

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

8.25 × 100 = 825%

So, 8 1/4 as a percent is 825%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: Convert the mixed number to an improper fraction: 8 1/4 = 33/4.

Step 2: Divide the fraction to convert it to a decimal: 33 ÷ 4 = 8.25.

Step 3: Move the decimal point two places to the right to get the percentage.

8.25 becomes 825.

Step 4: Add a percent sign (%) to the result.

The final result is 825%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 33/4 is equal to x/100.

33/4 = x/100

Step 2: Cross-multiply to solve for x.

33 × 100 = 4 × x

3300 = 4x

Step 3: Divide both sides by 4 to solve for x.

x = 3300 ÷ 4 = 825