what is 25 of 140

2 min read 24-12-2024

What is 25% of 140? A Step-by-Step Guide

Finding a percentage of a number is a common calculation in many areas of life, from calculating discounts to determining tax amounts. This article will show you how to easily calculate what 25% of 140 is, explaining the process step-by-step. We'll also explore different methods for solving this type of problem.

Understanding Percentages

Before we begin, let's briefly review what percentages represent. A percentage is a fraction expressed as a number out of 100. For example, 25% means 25 out of 100, or 25/100.

Method 1: Using the Decimal Equivalent

The most straightforward method involves converting the percentage to its decimal equivalent. To do this, simply divide the percentage by 100:

25% ÷ 100 = 0.25

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

0.25 x 140 = 35

Therefore, 25% of 140 is 35.

Method 2: Using Fractions

Percentages can also be expressed as fractions. 25% is equivalent to the fraction 1/4 (since 25/100 simplifies to 1/4). Therefore, we can calculate 25% of 140 by dividing 140 by 4:

140 ÷ 4 = 35

Again, we arrive at the answer: 25% of 140 is 35.

Method 3: Using Proportions

A proportion is an equation that states that two ratios are equal. We can set up a proportion to solve for 25% of 140:

25/100 = x/140

To solve for x (which represents 25% of 140), cross-multiply:

25 * 140 = 100 * x 3500 = 100x x = 3500 ÷ 100 x = 35

Once again, we find that 25% of 140 is 35.

Practical Applications

Understanding how to calculate percentages is incredibly useful in various real-world scenarios. For instance:

Sales and Discounts: If an item is 25% off and originally costs $140, you'll save $35.
Taxes: Calculating sales tax or other percentages added to a price.
Tips: Determining a tip amount in a restaurant.
Statistics and Data Analysis: Interpreting data presented as percentages.

Conclusion

Calculating 25% of 140 is easily accomplished using several methods. Whether you prefer using decimal equivalents, fractions, or proportions, the answer remains the same: 35. Mastering these methods will greatly enhance your ability to solve various percentage-related problems in your daily life. Remember to practice these methods to build your confidence and understanding.