How To Calculate Percentage
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Calculating a percentage involves comparing a part of a whole to the total and expressing it as a fraction of 100. Here's the general formula:
Percentage = (Part / Total) * 100
Here's how you can calculate a percentage step by step:
Identify the "Part": This is the quantity you want to calculate the percentage for.
Identify the "Total": This is the complete quantity or whole that the part is a portion of.
Divide the Part by the Total: Divide the part quantity by the total quantity.
Multiply by 100: Multiply the result from step 3 by 100 to convert the decimal into a percentage.
That's it! The final result is the percentage you're looking for.
Here's an example:
Let's say you have an article with 2000 words, and you want to calculate the percentage of a specific topic within the article. Let's say that topic has 500 words.
Percentage = (500 / 2000) * 100 = 25%
So, the topic with 500 words constitutes 25% of the entire 2000-word article.
Remember, percentages are a way to express proportions or parts of a whole as a standardized scale out of 100. The formula remains the same regardless of what you're calculating a percentage for, whether it's quantities, values, or any other measurement.
Certainly, here are a few more examples and scenarios to help you understand how to calculate percentages:
Discount Percentage: Let's say you have an item that originally costs $80, and it's on sale for $64. To calculate the discount percentage:
Percentage = ((Original Price - Sale Price) / Original Price) * 100 Percentage = ((80 - 64) / 80) * 100 = 20%
The item is discounted by 20%.
Test Scores: If a student scores 75 out of 100 on a test, you can calculate the percentage of their score:
Percentage = (Score / Total Possible Score) * 100 Percentage = (75 / 100) * 100 = 75%
The student scored 75% on the test.
Population Growth: If a town's population grows from 5000 to 6000, you can calculate the percentage increase:
Percentage Increase = ((New Population - Old Population) / Old Population) * 100 Percentage Increase = ((6000 - 5000) / 5000) * 100 = 20%
The population increased by 20%.
Tax Increase: If a tax rate increases from 8% to 10%, you can calculate the percentage increase:
Percentage Increase = ((New Tax Rate - Old Tax Rate) / Old Tax Rate) * 100 Percentage Increase = ((10 - 8) / 8) * 100 = 25%
The tax rate increased by 25%.
Proportional Division: If you want to divide a quantity among multiple categories proportionally, you can calculate the percentage each category gets. For example, if you have $500 and want to divide it between three categories in a 40:30:30 ratio:
Category 1: ($500 * 0.4) = $200 (40%) Category 2: ($500 * 0.3) = $150 (30%) Category 3: ($500 * 0.3) = $150 (30%)
These examples illustrate various scenarios where percentages are used to represent proportions or changes. Remember that the basic formula remains the same: Percentage = (Part / Total) * 100. You plug in different values depending on what you're trying to calculate the percentage for.
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