# 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:

$\frac{17}{20}=\frac{100}{20}= 100 ÷ 20 = 5$

## Applying a scaling factor to convert fractions to percentages:

$\frac{17 × 5}{20 × 5}=\frac{85}{100}= 0.85 × 100 = 85%$

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 $\frac{17}{20}$, 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 $\frac{50}{100}$ in fraction terms.
3. Transformation Process: To convert $\frac{17}{20}$ 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 $\frac{100}{20}= 5$. Following this logic, multiply both the numerator and denominator by 5:$\frac{17 × 5}{20 × 5}=\frac{85}{100}$.
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 $\frac{17}{20}$ 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, $\frac{17}{20}$ 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.