What is 82/120 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 82/120 into Percent.

82/120 as a percent is 68.33%

Method 1: Convert Fraction to Percent Directly

Step 1: Divide the numerator (82) by the denominator (120).

82 ÷ 120 = 0.6833

Step 2: Multiply the result by 100 to convert to a percentage.

0.6833 × 100 = 68.33%

So, 82/120 as a percent is 68.33%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the fraction to a decimal by dividing the numerator by the denominator.

82 ÷ 120 = 0.6833

Step 2: Move the decimal point two places to the right to get the percentage.

0.6833 becomes 68.33.

Step 3: Add a percent sign (%) to the result.

The final result is 68.33%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 82/120 is equal to x/100.

82/120 = x/100

Step 2: Cross-multiply to solve for x.

82 × 100 = 120 × x

8200 = 120x

Step 3: Divide both sides by 120 to solve for x.

x = 8200 ÷ 120 = 68.33

So, 82/120 as a percent is 68.33%.

Fraction to Percent Conversion Table

Fraction Percent

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