What is 17/20 as a percent?

Converting fractions into a percentage may be useful in life. Let's walk through the process of converting decimal to a percentage.

You can select other values to familiarize yourself with the conversion guide.

Often, convert 45/53 to a percent or 40/47 to a percent, depending on the task.

Determining the scaling factor:

1720=10020= 100 ÷ 20 = 5

Applying a scaling factor to convert fractions to percentages:

17 × 520 × 5=85100 = 0.85 × 100 = 85%

Solution:

17/20 = 85%

What is a fraction?

A fraction represents parts of a whole. Comprised of a numerator atop a denominator, it shows divisions of a total. For instance, 3/4 signifies three out of four equal segments.

What is a percent?

Percentages depict parts of a hundred. Symbolized by “%”, they convey proportions. 50% means half, while values can exceed, like 200%, indicating double the original.

For fractions:

In this guide, we’ll be focusing on the fraction 17/20 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 1720, we're essentially talking about 17 '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 1720 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 5:17 × 520 × 5 = 85100.
  4. Final Step: Once multiplied, the fraction denotes 85 out of 100, which is equivalent 85%.

Method 2 – Using Decimals:

  1. Fraction to Decimal Transformation: Begin by expressing 1720 as a decimal. This step requires simple division: divide the numerator (17) by the denominator (20), resulting in 0.85.
  2. Decimal to Percentage Conversion: Now, transform this decimal into a percentage. So, 0.85 multiplied by 100 equals 85%.
  3. Wrapping Up: Through the decimal conversion method as well, 1720 is equivalent of 85% 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.