what is 2.5 of 2500

2 min read 23-12-2024

Finding a percentage of a number is a common calculation in many areas of life, from calculating sales tax to determining discounts. This article will show you how to easily calculate 2.5% of 2500. We'll break down the process step-by-step, explaining the concepts along the way. Understanding this will help you tackle similar percentage problems with confidence.

Understanding Percentages

Before diving into the calculation, let's quickly review what percentages represent. A percentage is a fraction of 100. For example, 2.5% means 2.5 out of 100, or 2.5/100.

Calculating 2.5% of 2500: Three Methods

There are several ways to calculate 2.5% of 2500. Here are three common methods:

Method 1: Converting Percentage to Decimal

This is the most straightforward method. First, convert the percentage to a decimal by dividing by 100:

2.5% ÷ 100 = 0.025

Next, multiply the decimal by the number you want to find the percentage of:

0.025 x 2500 = 62.5

Therefore, 2.5% of 2500 is $\boxed{62.5}$

Method 2: Using Fractions

You can also solve this using fractions. Remember that 2.5% is equivalent to 2.5/100. This can be simplified to 1/40. The calculation then becomes:

(1/40) x 2500 = 2500/40 = 62.5

Again, 2.5% of 2500 is $\boxed{62.5}$

Method 3: Proportion Method

This method sets up a proportion:

2.5/100 = x/2500

To solve for x (which represents 2.5% of 2500), cross-multiply:

100x = 2.5 * 2500 100x = 6250 x = 6250/100 x = 62.5

Once more, we find that 2.5% of 2500 is $\boxed{62.5}$

Practical Applications

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

Sales tax: Calculating the sales tax on a purchase.
Discounts: Determining the amount saved during a sale.
Interest: Calculating simple interest earned on savings.
Tips: Figuring out the appropriate tip amount in a restaurant.
Statistics: Analyzing data and interpreting percentages in surveys or reports.

Conclusion

Calculating percentages is a valuable skill. As demonstrated, there are multiple methods to arrive at the correct answer. Whether you use decimals, fractions, or proportions, the result remains the same: 2.5% of 2500 is 62.5. Mastering these methods will empower you to confidently handle various percentage calculations in your daily life.