what is 75 of 250

2 min read 26-12-2024

Finding a percentage of a number is a common mathematical task. This article will show you how to calculate 75% of 250, step-by-step, and offer some helpful tips for similar calculations. Understanding percentages is crucial in many real-world situations, from calculating discounts to determining tax amounts.

Understanding Percentages

A percentage represents a fraction of 100. For example, 75% means 75 out of 100, or 75/100. To find a percentage of a number, we need to convert the percentage into a decimal or fraction and then multiply.

Calculating 75% of 250

Here's how to calculate 75% of 250 using two common methods:

Method 1: Using Decimal Conversion

Convert the percentage to a decimal: Divide the percentage by 100. 75% divided by 100 equals 0.75.
Multiply the decimal by the number: Multiply 0.75 by 250. 0.75 * 250 = 187.5

Therefore, 75% of 250 is $\boxed{187.5}$

Method 2: Using Fraction Conversion

Convert the percentage to a fraction: 75% can be written as 75/100. This fraction can be simplified to 3/4 by dividing both the numerator and the denominator by 25.
Multiply the fraction by the number: Multiply 3/4 by 250. (3/4) * 250 = 750/4 = 187.5

Therefore, 75% of 250 is $\boxed{187.5}$

Practical Applications

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

Sales and discounts: Calculating discounts offered on products. If a store offers a 75% discount on an item priced at $250, the discount amount would be $187.50.
Tax calculations: Determining the amount of sales tax or other taxes applicable to a purchase.
Financial analysis: Calculating percentages of profit, loss, or investment returns.
Statistics: Representing data and proportions as percentages.

Tips for Calculating Percentages

Use a calculator: For more complex calculations, a calculator can save time and improve accuracy.
Simplify fractions: Simplifying fractions before multiplying can make the calculation easier.
Practice regularly: The more you practice, the more comfortable you'll become with percentage calculations.

Conclusion

Calculating percentages is a fundamental mathematical skill with broad applications. We've shown that 75% of 250 is 187.5 using two different methods. Understanding these methods empowers you to confidently tackle percentage problems in various contexts. Remember to practice and utilize tools like calculators to improve accuracy and efficiency. Mastering percentage calculations will significantly enhance your problem-solving abilities in numerous areas.