what is 62 of 25

less than a minute read 16-01-2025

What is 62% of 25? A Step-by-Step Guide

Finding a percentage of a number is a common task in math and everyday life. Let's break down how to calculate 62% of 25. Understanding the process is more valuable than just the answer. This article will guide you through different methods, ensuring you can tackle similar problems independently.

Understanding Percentages

A percentage is a fraction expressed as a number out of 100. 62% means 62 out of 100, or 62/100. To find 62% of 25, we need to find 62/100 of 25.

Method 1: Converting to a Decimal

This is often the easiest method. We convert the percentage to a decimal by dividing by 100:

62% = 62 ÷ 100 = 0.62

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

0.62 x 25 = 15.5

Therefore, 62% of 25 is $\boxed{15.5}$

Method 2: Using Fractions

We can also solve this using fractions:

Convert the percentage to a fraction: 62% = 62/100
Simplify the fraction (optional): 62/100 can be simplified to 31/50
Multiply the fraction by the number: (31/50) x 25 = (31 x 25) / 50 = 775 / 50 = 15.5

Again, we find that 62% of 25 is $\boxed{15.5}$

Method 3: Proportion Method

This method sets up a proportion to solve for the unknown value:

62/100 = x/25

Cross-multiply:

100x = 62 x 25

100x = 1550

Divide both sides by 100:

x = 15.5

So, 62% of 25 is $\boxed{15.5}$

Practical Applications

Understanding how to calculate percentages is crucial for many real-world situations, such as:

Calculating discounts: Finding the sale price of an item with a percentage discount.
Determining tax: Figuring out the amount of tax on a purchase.
Analyzing data: Interpreting statistics presented as percentages.
Calculating tips: Determining the appropriate tip amount in a restaurant.

No matter which method you prefer, the answer remains the same: 62% of 25 is 15.5. Choose the method that you find easiest and most comfortable to use. Remember to practice these methods to build your confidence and understanding of percentages.