Introduction: Understanding Percentages
Percentages are a fundamental concept in mathematics and everyday life. They are used to express a proportion or a part of a whole as a fraction of 100. In other words, a percentage is a way of expressing a number as a fraction of 100. For instance, 50% means 50 out of 100 or 0.5 as a decimal.
What is 10% of 80?
To find out what percent of 80 is 10, we first need to calculate what 10% of 80 is. To do this, we can simply multiply 80 by 10% (or 0.1 as a decimal):
10% of 80 = 0.1 x 80 = 8
Therefore, 10% of 80 is 8.
What is the percentage of 10 in 80?
Now that we know that 10% of 80 is 8, we can find out what percent of 80 is 10 by dividing 10 by 8 and multiplying the result by 100:
Percentage of 10 in 80 = (10 ÷ 8) x 100 = 125%
Therefore, 10 is 125% of 80.
How to Calculate Percentages
Calculating percentages is a straightforward process that can be done using a simple formula:
Percentage = (Part ÷ Whole) x 100
In this formula, the “part” is the proportion or amount you want to express as a percentage, and the “whole” is the total or the reference value.
Examples of Percentage Calculations
Let’s look at some examples of how to calculate percentages using the formula above:
Example 1: What is 20% of 50?
Percentage = (Part ÷ Whole) x 100 = (20 ÷ 50) x 100 = 40%
Therefore, 20% of 50 is 10.
Example 2: What is 75% of 120?
Percentage = (Part ÷ Whole) x 100 = (75 ÷ 120) x 100 = 62.5%
Therefore, 75% of 120 is 90.
Why Percentages are Important
Percentages are used in many different fields, including finance, science, and statistics. They are a useful way to express proportions and compare different quantities. For instance, percentages can be used to calculate interest rates, measure the effectiveness of a treatment, or compare the performance of different companies.
Conclusion
In conclusion, finding out what percent of 80 is 10 is a simple calculation that can be done using the formula for percentages. By understanding how to calculate percentages, we can better understand and interpret numerical data in many different contexts.