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what is 80 of 1500

what is 80 of 1500

less than a minute read 26-12-2024
what is 80 of 1500

What is 80% of 1500? A Simple Percentage Calculation Explained

Finding a percentage of a number is a common task in many areas of life, from calculating discounts to determining grades. This article will clearly explain how to calculate 80% of 1500, and provide some context for understanding percentage calculations. Knowing how to perform this calculation is a valuable skill that will be useful in various situations.

Understanding Percentages

A percentage is a fraction or ratio expressed as a number out of 100. For example, 80% means 80 out of 100, or 80/100. This can be simplified to the fraction 4/5.

Calculating 80% of 1500

There are two main methods for calculating 80% of 1500:

Method 1: Using Decimal Conversion

  1. Convert the percentage to a decimal: Divide the percentage by 100. 80% divided by 100 is 0.8.
  2. Multiply the decimal by the number: Multiply 0.8 by 1500. 0.8 * 1500 = 1200.

Therefore, 80% of 1500 is 1200\boxed{1200}.

Method 2: Using Fractions

  1. Convert the percentage to a fraction: As mentioned earlier, 80% is equivalent to 80/100, which simplifies to 4/5.
  2. Multiply the fraction by the number: Multiply 4/5 by 1500. (4/5) * 1500 = 1200.

Again, we find that 80% of 1500 is 1200\boxed{1200}.

Real-World Applications

Understanding percentage calculations is crucial in various real-world scenarios. Here are a few examples:

  • Sales and Discounts: If a store offers an 80% discount on an item priced at $1500, the discount amount would be $1200. The final price would be $1500 - $1200 = $300.
  • Grades and Scores: If a test is out of 1500 points and you score 80%, your score would be 1200 points.
  • Statistics and Data Analysis: Percentages are frequently used in statistical analysis to represent proportions and trends.

Conclusion

Calculating percentages is a fundamental mathematical skill. By using either the decimal conversion method or the fraction method, you can easily determine that 80% of 1500 is 1200. This understanding can be applied in numerous situations, making it a valuable skill to possess. Remember to practice these methods to solidify your understanding and increase your confidence in tackling percentage calculations.

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