# Ratio to Percentage

Ratio to percentage conversions helps to denote a number from its ratio form to the percentage form. These percentages are used in many real-life situations. For example, the marks we get in school tests are represented in percentages. The attendance in our class is expressed in percentages, and so on.

## Percentage

The percentage is represented in terms of 100. The percentage is combined by two words – per and cent, meaning per 100. We can denote any quantity per 100 to get the desired percentage. Whenever we want to mention a whole thing or a complete thing, we use 100%. To denote a number that has 0 percentage, we use 0%. For a quantity having half chances of occurrence, we use 50%, and so on.

## Ratio

Similarly, the concept of ratio comes into existence. Suppose you have 10 black balls and 11 blue balls in a bag. Then what will be the ratio of black balls to blue balls? We need to divide these two quantities to get the desired ratio. As in the above example, the ratio of black to blue balls = 10 / 11. The ratio is denoted by using the ‘:’ symbol. Therefore, the ratio of black: blue balls = 10: 11.

## Ratio of percentage conversion

We can represent the ratios into percentages using the following steps:

1. Firstly, denote the number in the ratio form as x / y.
2. Multiply these factors by 100 to get the percentage number.
3. Add % symbol in the end compulsorily to denote percentages. Without the % symbol, the quantity will be considered a decimal or whole number unit and not a percentage.

For example, take a ratio 3 / 25. According to the steps above, we need to multiply the number by 100. Therefore, we have: 3 / 25 x 100 = 3 x 4 = 12%.

Therefore, the percentage value of 3 / 25 = 12%. Similarly, we can calculate percentages of other numbers using the same steps.

Example: Convert the ratio 2:1 into a percentage.

Solution:

The ratio 2:1 can be written as 2/1. Multiplying 2/1 by 100, we get,

2 / 1 x 100 = 200.

Adding a percentage symbol at the end, we get the desired percentage as 200%.

Note: The percentage can be greater than 100. This denotes the profitability or progress of a quantity or project. For example, a 200% means the result is two times greater than any quantity.

For example, if you got 4 apples. Then 200% of those apples will be 8.

## Applications of percentages

1) They help calculate and estimate large numerical values.
2) They denoted the overall condition of a project. For example, if we say our project is 75% complete, our task is moving towards completion.
3) They help calculate taxes and tips.
4) We can denote marks using percentages so that it is easy to evaluate the performance of a child.
5) Percentages are used greatly in everyday life, especially in finance and bank. They are used to calculate inflation, banking rates, and their stats.

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