Ratio To Percentage
Ratio to percentage conversion process helps to represent a number in ratio form in terms of percentage. You have often seen the percentage as a way to evaluate a student’s performance in examinations. Thus, the percentage is used to compare quantities. It literally means ‘per 100’, which is a number expressed as a fraction of 100. So when you say 100% of something, it means it represents the whole of it.
Similarly, when you talk about pizza slices being divided amongst 2 people, the concept of ratio comes into the picture. In simple words, the ratio is also used to compare quantities in a different manner. Now, let us discuss how to convert ratio to percentage, formula and the ratio to percentage value for some of the most frequently used numbers with many solved examples in detail.
Table of Contents:
Ratio to Percentage Conversion
Ratio to percentage conversion helps us in obtaining accuracy in mixtures of elements, or while calculating the percentage score in a test. At times you are given parts of a quantity in the form of ratios. They can also be represented in the form of percentages. Let us understand this with the help of examples.
Go through the following procedure to understand how to convert the ratio to percentage:
Step 1: First write the ratio a:b in the form of fraction a/b.
Step 2: Multiply the fraction a/b by 100 to convert in terms of percentage.
Step 3: Finally, add the percentage symbol (%) to the resultant value.
For example, to convert the ratio 5: 4, follow the below steps:
Step 1: The ratio 5:4 is written as 5/4.
Step 2: Multiply 5/4 by 100. (i.e) (5/4)×100 = 125.
Step 3: Adding the percentage symbol (%) to the resultant value, we get 125%.
Ratio to Percentage Formula
The ratio to percentage formula is used to convert the ratio to percentage. The ratio to percentage formula is given as follows:
Percentage = Ratio × 100
Ratio to Percentage Table
The ratio to percentage table provides the percentage value for some of the most commonly used ratios. Go through the following ratio to percentage values.
|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%|
Check Out Other Conversion Related Topics:
|Decimal To Hex Conversion||Fraction to Percent Conversion|
|Decimal to fraction Formula||Binary to Decimal Formula|
|Inches to cm (centimeters) converter||Cm to Inches converter|
Ratio to Percent Examples
Convert the ratio 2:1 into percentage.
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: Adding the percentage symbol to the resultant value, we get the answer as 200%.
Therefore, 2:1 = 200%.
Varun received his monthly salary. The ratio of his expenditure to savings is 7:3. What percentage of his salary, did he spend and what percentage was saved by him?
Since the part of saving and expenditure are 3 and 7, the salary can be taken as 3 + 7 = 10 parts. This implies, 7/10 part of the salary is spent whereas 3/10 parts are saved.
Converting ratio to percentage we get,
Percentage of expenditure = 7/10 x 100% = 70%
Similarly, percentage of savings = 3/10 x 100% = 30%
Try This: Ratio To Percent Calculator
The angles of a triangle are in the ratio 1:1:2. Find the value of each angle. What will be the percentage of each angle?
Since the angles are in ratio 1:1:2, there are 1 + 1 + 2 = 4 parts. The sum of angles in a triangle is 180 degrees.
Thus, the measure of the first angle = 1/4 x 180 = 45 degrees
Measure of the second angle = 1/4 x 180 = 45 degrees
Measure of the third angle = 2/4 x 180 = 90 degrees
Similarly, converting ratio to percentage we have,
First angle = 1/4 x 100% = 25%
Second angle = 1/4 x 100% = 25%
Third angle = 2/4 x 100% = 50%
Frequently Asked Questions on Ratio to Percentage
What is the ratio to percentage formula?
The ratio to percentage formula is:
Percentage = Ratio ×100
Mention the steps to convert ratio to percentage?
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.
Convert the ratio 4:1 to percentage.
The percentage value of 4:1 is calculated as follows:
4:1 = (4/1) ×100 = 400%
Thus, the percentage of the ratio 4:1 is 400%
Convert 75% into ratio.
75% = 75/100 = 3/4
Therefore, 75% = 3: 4.
What is 25% as a ratio?
25% = 25/100 = ¼.
Therefore, the ratio equivalent to 25% is ¼.