What is 13/20 as a percent?

Converting fractions to a percentage can be very helpful. Let's go through the steps to change a decimal into a percentage.

You can try different values to learn more about the conversion process.

Often, convert 11/17 to a percent or 23/35 to a percent, depending on the task.

Determining the scaling factor:

1320=10020= 100 ÷ 20 = 5

Applying a scaling factor to convert fractions to percentages:

13 × 520 × 5=65100 = 0.65 × 100 = 65%


13/20 = 65%

What is a fraction?

A fraction represents parts of a whole. It has a top number (numerator) and a bottom number (denominator). For example, 3/4 means three out of four equal parts.

What is a percent?

A percent represents parts of a hundred. The symbol “%” shows proportions. 50% means half, and 200% means double the original value.

For fractions:

In this guide, we’ll be focusing on the fraction 13/20 and how to convert it into its percentage equivalent.

Method 1 – Fraction Scaling:

  1. Understanding Fractions: At the heart of every fraction, there's a division taking place. The numerator denotes the 'portions' we're focused on. The denominator reveals the total possible 'portions'. So, when we say 1320, we're essentially talking about 13 'portions' out of an available 20.
  2. Explanation of Percentage: The term “Percent” has Latin roots, where “cent” means a hundred. So, a percentage essentially portrays a fraction where the denominator is always 100. For illustration, when we state 50%, it translates to 50 out of 100 or 50100 in fraction terms.
  3. Transformation Process: To convert 1320 into a percentage, we must multiply the fraction to have 100 as its denominator. Begin by determining the factor by which 20 can be multiplied to get 100. This factor is 10020 = 5. Following this logic, multiply both the numerator and denominator by 5:13 × 520 × 5 = 65100.
  4. Final Step: Once multiplied, the fraction denotes 65 out of 100, which is equivalent 65%.

Method 2 – Using Decimals:

  1. Fraction to Decimal Transformation: Begin by expressing 1320 as a decimal. This step requires simple division: divide the numerator (13) by the denominator (20), resulting in 0.65.
  2. Decimal to Percentage Conversion: Now, transform this decimal into a percentage. So, 0.65 multiplied by 100 equals 65%.
  3. Wrapping Up: Through the decimal conversion method as well, 1320 is equivalent of 65% when expressed as a percentage.

Both methods, while distinct in approach, provide the same result. You can choose to use either the direct fraction scaling method or the decimal conversion method.