what is 80 of 130

Natashya

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25-12-2024

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What is 80% of 130? A Step-by-Step Guide to Percentage Calculations

Finding a percentage of a number is a common calculation in many areas of life, from calculating discounts to understanding statistics. This article will guide you through finding what 80% of 130 is, and explain the process so you can easily apply it to other percentage problems.

Understanding Percentages

Percentages represent a fraction of 100. So, 80% means 80 out of 100, or 80/100. To find 80% of 130, we need to determine what 80/100 of 130 is.

Method 1: Converting the Percentage to a Decimal

This is the most common method. We convert the percentage (80%) into a decimal by dividing it by 100:

80% / 100 = 0.8

Now, we multiply this decimal by the number we want to find the percentage of (130):

0.8 * 130 = 104

Therefore, 80% of 130 is $\boxed{104}$.

Method 2: Using Fractions

We can also solve this using fractions. As mentioned, 80% is equivalent to the fraction 80/100. This fraction can be simplified to 4/5. Now we multiply this fraction by 130:

(4/5) * 130 = (4 * 130) / 5 = 520 / 5 = 104

Again, we find that 80% of 130 is $\boxed{104}$.

Method 3: Proportion Method

Set up a proportion:

80/100 = x/130

Cross-multiply:

100x = 80 * 130

100x = 10400

Divide both sides by 100:

x = 104

This confirms that 80% of 130 is $\boxed{104}$.

Practical Applications

Understanding percentage calculations is crucial in various real-world scenarios:

• Sales and Discounts: Calculating discounts on items during sales. For example, an 80% discount on a $130 item would mean a saving of $104.
• Statistics and Data Analysis: Determining percentages within datasets. Understanding proportions within a larger group.
• Financial Calculations: Calculating interest rates, taxes, or profit margins.
• Everyday Life: Figuring out tips, splitting bills, or understanding proportions in recipes.

Conclusion

Calculating percentages is a fundamental skill with wide-ranging applications. By mastering these methods, you can confidently tackle various percentage problems, whether it's determining 80% of 130 or any other percentage calculation. Remember to choose the method that you find easiest and most efficient. The answer remains consistent: 80% of 130 is 104.