# What is 1/3 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 0.33333 to a percent or 0.34 to a percent, depending on the task.

## Determining the scaling factor:

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

## Solution:

**1/3 = 33.333333333333%**

## 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 1/3 and how to convert it into its percentage equivalent.

### Method 1 – Fraction Scaling:

**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**$\frac{1}{3}$**, we're essentially talking about**1**'portions' out of an available**3**.**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.**Transformation Process:**To convert**$\frac{1}{3}$**into a percentage, we must multiply the fraction to have**100**as its denominator. Begin by determining the factor by which**3**can be multiplied to get**100**. This factor is**$\frac{100}{3}\mathrm{=\; 33.333333333333}$**. Following this logic, multiply both the numerator and denominator by**33.333333333333:****$\frac{\mathrm{1\; \times \; 33.333333333333}}{\mathrm{3\; \times \; 33.333333333333}}\mathrm{=}\frac{33.333333333333}{100}$**.**Final Step:**Once multiplied, the fraction denotes**33.333333333333**out of**100**, which is equivalent**33.333%**.

### Method 2 – Using Decimals:

**Fraction to Decimal Transformation:**Begin by expressing**$\frac{1}{3}$**as a decimal. This step requires simple division: divide the numerator**(1)**by the denominator**(3)**, resulting in**0.33333333333333**.**Decimal to Percentage Conversion:**Now, transform this decimal into a percentage. So,**0.33333333333333**multiplied by**100**equals**33.333%**.**Wrapping Up:**Through the decimal conversion method as well,**$\frac{1}{3}$**is equivalent of**33.333%**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.