Ratio to Percentage
Nov 30, 2022, 16:45 IST
Ratio to Percentage is a conversion procedure that helps convert a ratio to a percentage. As we know, a ratio compares two quantities of the same unit. A percentage is a specific ratio in which the whole value is always equal to 100. This article will discuss how to convert a ratio to a percentage, a formula, and a ratio to percentage value for some of the most commonly used numbers with detailed examples.
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Conversion of Ratio to Percentage
Converting ratios to percentages helps us get precision in element mixtures or calculate a percentage score in a test. Sometimes you are given parts of quantities in the form of ratios. They can also be represented in the form of percentages. Let's understand this with examples.
Go through the following procedure to understand how to convert a ratio to a percentage:
- Step 1: First, write the ratio a:b in fraction form a/b.
- Step 2: Multiply the fraction a/b by 100 to convert to percentages.
- Step 3: Add a percent (%) symbol to the resulting value.
For example, to convert a 5:4 ratio, do the following:
Step 1: The ratio 5:4 is written as 5/4.
Step 2: Multiply 5/4 by 100. (ie (5/4) × 100 = 125.
Step 3: By adding the percent symbol (%) to the resulting value, we get 125%.
A ratio of 5:4 is written as 125%.
Formula
The given formula is used to convert the ratio to percentage. The ratio to percentage formula is mentioned below:
Percentage = Ratio × 100
The percentage is represented using the symbol %.
Ratio to Percentage Table
The ratio to percentage table gives the percentage value for some of the most commonly used ratios. Go through the following ratio to percentage values.
| Ratio | Percentage Conversion | Percentage |
| 1: 2 | (1/2) ×100 | 50% |
| 1: 3 | (1/3) ×100 | 33.33% |
| 1: 4 | (1/4) ×100 | 25% |
| 1: 5 | (1/5) ×100 | 20% |
| 1: 10 | (1/10) ×100 | 10% |
| 2: 5 | (2/5) ×100 | 40% |
| 4: 5 | (4/5) ×100 | 80% |
| 1: 50 | (1/50) ×100 | 2% |
| 1: 100 | (1/100) ×100 | 1% |
Solved Examples
Q1. Convert the ratio 2:1 into percentage.
Ans. Given ratio: 2:1
- Step 1: The ratio 2:1 is written as 2/1.
- Step 2: Multiplying 2/1 by 100, we get 200. (i.e.) (2/1)×100 = 200.
- Step 3: Add the percentage symbol to the resultant value, and we get the answer as 200%.
Therefore, 2:1 = 200%.
Q2. Ram received his monthly salary. The ratio of expenditure to savings is 8:5. Calculate the percentage of his salary did he spend, and also find the percentage was saved by him?
Ans. Since saving and expenditure are 5 and 8, the salary can be taken as 5 + 8 = 13 parts. This implies 8/10 part of the salary is spent, whereas 5/10 parts are saved.
Converting ratio to the percentage we get,
Percentage of expenditure = 8/10 x 100% = 80%
Similarly, percentage of savings = 5/10 x 100% = 50%
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Frequently Asked Question (FAQs)
Q1. What is the ratio to percentage formula?
Ans. Percentage = Ratio ×100
Q2. Write the steps to convert the ratio to percentage.
Ans. Following are the steps to convert the ratio to percentage are:
- Write the given ratio in fractional form.
- Multiply the fraction by 100
- Simplify the obtained expression and add a percentage symbol to the resultant value.
Q3. Is ratio can be negative?
Ans. A ratio is negative when the divisor and dividend are of different sign. Distance can never be negative then why external division gives negative ratio.
Q4. Convert 84% into ratio.
Ans. 84% = 84/100 = 21/25
Therefore, 84% = 21:25
Q5. What is 25% as a ratio?
Ans. 25% = 25/100 = ¼.
Therefore, the ratio equivalent to 25% is 1/4.
