## What Is the Ratio to Percentage Conversion?

**The ratio to percentage conversion refers to the method of converting any given ratio into its equivalent percentage value.**

Two quantities of the same kind and same unit are compared using the ratio. So, a ratio tells us how much of one quantity is present in relation to another quantity. For example, if the water to milk ratio is 1:2, it means that for 1 glass of water, you must add 2 glasses of milk.

A percentage, on the other hand, is a particular kind of ratio where the value of the denominator is always equal to 100. For example, $25\%$ means $\frac{25}{100}$.

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## How to Convert Ratio to Percentage

Let’s understand how to express a ratio as a percentage.

**Step 1:** Write the ratio a:b in the fraction form $\frac{a}{b}$.

**Step 2:** Multiply $\frac{a}{b}$ by 100.

**Step 3:** Add the percentage sign $(\%)$ to the resultant value.

**Example 1:** **Convert the ratio 3 : 5 into percentage.**

The ratio 3 : 5 is written in the fraction form as $\frac{3}{5}$.

Multiply $\frac{3}{5}$ by 100.

$\frac{3}{5} \times 100 = 60$

Adding the percentage symbol $(\%)$ to the resultant value, we get $60\%$.

The ratio 3 : 5 in percentage form is $60\%$.

In certain examples, identifying the ratio can be tricky. Let’s see one such example.

**Example 2: The ratio of blue pens to red pens in a box is 1 : 4. What is the percentage of blue pens present in the box?**

The ratio of pens to pencils $= 1 : 4$

It means that if there are $1 + 4 = 5$ items in the box, there will be 1 blue pen and 4 red pens.

Ratio of blue pens to the total number of items $= 1 : 5$

Ratio to percentage $= \frac{1}{5} \times 100 = 20\%$

Percentage of blue pens in the box $= 20\%$

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## Ratio to Percentage Formula

The formula for converting ratios to percentages is as follows:

**Percentage **$=$** Ratio **$\times 100$** **

Add the sign $\%$ is used to denote the percentage.

**Example: ** $5 : 10 = \frac{5}{10} \times 100 = 50\%$

## Ratio to Percentage Table

Ratio | Percentage Conversion | Percentage |
---|---|---|

1: 2 | $\frac{1}{2} \times 100$ | $50\%$ |

1: 3 | $\frac{1}{3} \times 100$ | $33.33\%$ |

1: 4 | $\frac{1}{4} \times 100$ | $25\%$ |

1: 5 | $\frac{1}{5} \times 100$ | $20\%$ |

1: 10 | $\frac{1}{10} \times 100$ | $10\%$ |

2: 5 | $\frac{2}{5} \times 100$ | $40\%$ |

1: 25 | $\frac{1}{25} \times 100$ | $4\%$ |

4: 5 | $\frac{4}{5} \times 100$ | $80\%$ |

1: 50 | $\frac{1}{50} \times 100$ | $2\%$ |

1: 100 | $\frac{1}{100} \times 100$ | $1\%$ |

## Facts about Ratio to Percentage Conversion

To convert a fraction to percentage, we follow the same steps that we follow to convert a ratio to percentage.

Fraction $\frac{1}{4} = \frac{1}{4} \times 100 = 25\%$

## Conclusion

In this article, we learned how to convert a ratio to a percentage, formula, and steps. Let’s solve a few examples and practice problems to revise the concept.

## Solved Examples on Fractions to Percentage Conversion

**1. Convert 4 : 5 ratio into percentage.**

**Solution: **

Given ratio $= 4 : 5$

The ratio 4 : 5 is written as $\frac{4}{5}$.

Multiplying $\frac{4}{5}$ by 100. Add $\%$ sign to the result.

$\frac{4}{5} \times 100 = 80\%$

**2. The ratio of Monica’s expenses and savings is 8 : 2. What percentage of her income did she spend, and what percent did she save?**

**Solution: **

Expenses to savings ratio $= 8 : 2$

Total parts $= 2 + 8 = 10$

This suggests that $\frac{8}{10}$ of the salary is spent, and only $\frac{2}{10}$ is saved.

Converting ratio to percentage we get,

Percentage of expenditure $= \frac{8}{10} \times 100 = 80\%$

Similarly, percentage of savings $= \frac{2}{10} \times 100 = 20\%$

**3. On a canvas, the ratio of the red and black is 2 : 3. What percentage of red color is used?**

**Solution: **

Total number of parts $= 2 + 3 = 5$

$\frac{2}{5}$ parts are filled in red.

Percentage of red color $= \frac{2}{5} \times 100 = 40\%$

35 parts are filled in black.

Percentage of black color $= \frac{3}{5} \times 100 = 60\%$

## Practice Problems on Ratio to Percentage Conversion

## Ratio to Percentage Conversion - Steps, Formula, Table, Examples, FAQs

### 1 : 100 $=$

1 : 100 $= \frac{1}{100}\times100 = 1\%$

### Convert 7 : 8 to percentage.

7 : 8 $= \frac{7}{8}\times100 = 87.5\%$

### The ratio of apples to oranges in a fruit basket is 9 : 16. What is the percentage of apples in the basket?

Total number of fruits $= 9 + 16 = 25$

Number of apples $= 9$

Ratio of apples to the total number of fruits $= 9 : 25$

Percentage of apples in the basket $= \frac{9}{25}\times100=36\%$

## Frequently Asked Questions on Ratio to Percentage Conversion

**What is the formula for the ratio to percentage?**

The ratio to percentage formula is:

Percentage $=$ Ratio $\times 100$

**What is the ratio of 75%?**

$\frac{75}{100} = 3 : 4$

**What benefits come from representing ratios using percentages?**

Comparing quantities given in percentages is simpler than comparing multiple ratios.

**How can you express percentages as a fraction?**

A percentage is a number that indicates how many out of 100 are present. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.