what is 75 of 1500

2 min read 23-12-2024

Finding a percentage of a number is a common task in everyday life, from calculating discounts to figuring out tips. This article will show you how to easily calculate 75% of 1500, explaining the process step-by-step. We'll also explore different methods to solve this type of problem.

Understanding Percentages

Before we dive into the calculation, let's quickly review what percentages represent. A percentage is a fraction of 100. For example, 75% means 75 out of 100, or 75/100. We can simplify this fraction to 3/4. This means 75% represents three-quarters of a whole.

Method 1: Using Decimal Conversion

This is the most straightforward method. To find 75% of 1500, we first convert the percentage to a decimal. We do this by dividing the percentage by 100:

75% / 100 = 0.75

Now, we multiply this decimal by the number we want to find the percentage of:

0.75 * 1500 = 1125

Therefore, 75% of 1500 is $\boxed{1125}$ .

Method 2: Using Fractions

As mentioned earlier, 75% can be represented as the fraction 3/4. We can use this fraction to calculate 75% of 1500:

(3/4) * 1500 = 1125

This method provides the same result: 75% of 1500 is $\boxed{1125}$ .

Method 3: Breaking it Down

We can also break the calculation down into smaller, easier steps. Since 75% is 50% + 25%, we can find each individually and add them:

50% of 1500: 1500 / 2 = 750
25% of 1500: 750 / 2 = 375
75% of 1500: 750 + 375 = 1125

Again, we arrive at the answer: 75% of 1500 is $\boxed{1125}$ .

Real-World Applications

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

Sales and Discounts: If a store offers a 75% discount on a $1500 item, the discount amount would be $1125.
Commission: A salesperson earning a 75% commission on $1500 in sales would earn $1125.
Surveys and Statistics: If 75% of 1500 respondents answered "yes" to a survey question, that represents 1125 respondents.

Conclusion

Calculating 75% of 1500 is a straightforward process, regardless of the method used. Whether you prefer using decimal conversion, fractions, or breaking down the calculation into smaller parts, the answer remains the same: $\boxed{1125}$ . Mastering percentage calculations enhances your ability to solve various problems in daily life and professional settings.