How percentage is calculated?
Percentage is calculated by dividing a quantity by the total amount and then multiplying by 100. This can be expressed in the following formula:
percentage = (part/total) x 100%
For example, if you scored 80 marks out of 100 in a test, your percentage would be:
percentage = (80/100) x 100% = 80%
This means you scored 80% of the total marks available in the test. Similarly, if you want to find out what percentage of a group of people prefer apples over oranges, you would divide the number of people who prefer apples by the total number of people surveyed, and then multiply by 100 to get the percentage.
Here are some additional examples of how to calculate percentages:
- If a shirt costs $40 and there is a 20% discount, what is the sale price?
- First, calculate the discount amount: 20% of $40 = $8
- Subtract the discount from the original price: $40 – $8 = $32
- The sale price of the shirt is $32.
- If a restaurant bill is $50 and you want to leave a 15% tip, what is the total amount you would pay?
- Calculate the tip amount: 15% of $50 = $7.50
- Add the tip to the bill amount: $50 + $7.50 = $57.50
- The total amount you would pay is $57.50.
- If you have a jar of 100 marbles, and 25% of them are red, how many marbles are red?
- Calculate the number of red marbles: 25% of 100 = 0.25 x 100 = 25
- There are 25 red marbles in the jar.
- If a company’s profits increased from $10,000 to $12,000, what is the percentage increase?
- Calculate the difference in profits: $12,000 – $10,000 = $2,000
- Calculate the percentage increase: ($2,000/$10,000) x 100% = 20%
- The profits increased by 20%.
- If a recipe calls for 2 cups of flour and you want to make half the recipe, how many cups of flour do you need?
- Calculate half of 2 cups: 50% of 2 cups = 0.5 x 2 = 1 cup
- You need 1 cup of flour to make half the recipe.
- If a city has a population of 500,000 and 40% of the population are under the age of 18, how many people are under the age of 18?
- Calculate the number of people under 18: 40% of 500,000 = 0.4 x 500,000 = 200,000
- There are 200,000 people under the age of 18 in the city.
- If a company has 100 employees and 60% of them are women, how many employees are women?
- Calculate the number of women employees: 60% of 100 = 0.6 x 100 = 60
- There are 60 women employees in the company.
- If a car travels 240 miles on 12 gallons of gasoline, what is the fuel efficiency in miles per gallon?
- Calculate the fuel efficiency: 240 miles / 12 gallons = 20 miles per gallon
- The car’s fuel efficiency is 20 miles per gallon.
These examples demonstrate how percentages can be used in different contexts, such as cooking, demographics, employment, and transportation. By using the formula to calculate percentages, you can quickly and easily find out what percentage one quantity represents of another quantity.
FAQ
- What is a percentage?
- A percentage is a way of expressing a portion or part of a whole as a fraction of 100. For example, 50% is the same as 50/100 or 0.5.
- How do I convert a percentage to a decimal?
- To convert a percentage to a decimal, divide the percentage by 100. For example, 25% is equivalent to 0.25 as a decimal.
- How do I convert a decimal to a percentage?
- To convert a decimal to a percentage, multiply the decimal by 100 and add the percent symbol (%). For example, 0.75 is equivalent to 75%.
- How do I calculate a percentage change?
- To calculate a percentage change, divide the difference between two values by the original value and multiply by 100. For example, if the original value is 100 and the new value is 150, the percentage change is [(150-100)/100] x 100% = 50%.
- What is a percentage point?
- A percentage point is a unit of measure used to describe a change in percentage. For example, if the unemployment rate increased from 5% to 6%, this represents a change of 1 percentage point.
I hope these FAQs are helpful in understanding percentages!
conclusion
In conclusion, percentages are a way of expressing a portion or part of a whole as a fraction of 100. Percentage calculations involve dividing a quantity by the total amount and then multiplying by 100. Percentages can be used in a variety of contexts, such as cooking, demographics, employment, and transportation. Converting between percentages and decimals and calculating percentage changes are common applications of percentage calculations. Understanding percentages is useful in many fields and can help you make informed decisions in everyday life.
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