what is 68 of 30

less than a minute read 23-12-2024

Finding a percentage of a number is a common task in math, and it's useful in many real-world situations. This article will show you how to calculate 68% of 30, step-by-step, and offer some helpful tips.

Understanding Percentages

Before we dive into the calculation, let's quickly review what percentages represent. A percentage is a fraction out of 100. So, 68% means 68 out of 100, or 68/100.

Calculating 68% of 30

There are two primary ways to calculate 68% of 30:

Method 1: Converting to a Decimal

Convert the percentage to a decimal: To do this, divide the percentage by 100. 68% becomes 68 ÷ 100 = 0.68
Multiply the decimal by the number: Multiply 0.68 by 30: 0.68 x 30 = 20.4

Therefore, 68% of 30 is $\boxed{20.4}$

Method 2: Using Fractions

Convert the percentage to a fraction: 68% can be written as 68/100.
Multiply the fraction by the number: Multiply (68/100) by 30: (68/100) x 30 = 2040/100
Simplify the fraction: 2040/100 simplifies to 20.4

Again, this confirms that 68% of 30 is $\boxed{20.4}$

Practical Applications

Understanding how to calculate percentages is useful in many everyday situations, such as:

Calculating discounts: If an item is 68% off, you can use this method to determine the discount amount.
Determining tax amounts: Sales tax is often expressed as a percentage.
Figuring out tips: Calculating a tip in a restaurant often involves percentages.
Understanding financial data: Many financial reports utilize percentages to represent various metrics.

Using a Calculator

For larger or more complex percentage calculations, using a calculator is often the most efficient method. Most calculators have a percentage function (%) that simplifies the process. Simply enter 68%, press the multiplication key, enter 30, and press the equals key (=). The result will be 20.4.

Conclusion

Calculating 68% of 30, whether using the decimal or fraction method, results in 20.4. Mastering percentage calculations is a valuable skill with broad applications in various aspects of life. Remember to practice regularly to build your confidence and accuracy.