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what is 80 percent of 120

what is 80 percent of 120

2 min read 05-02-2025
what is 80 percent of 120

Finding 80 percent of 120 is a common percentage calculation. This simple guide will show you how to solve this problem, offering different methods to choose from depending on your preference and mathematical skills. Whether you're a student, a professional, or just curious, understanding percentage calculations is a valuable skill. Let's dive in!

Method 1: Converting Percentage to Decimal

This is arguably the most straightforward method. We convert the percentage to its decimal equivalent and then multiply.

Step 1: Convert the percentage to a decimal.

To convert 80% to a decimal, divide by 100:

80% รท 100 = 0.8

Step 2: Multiply the decimal by the number.

Now, multiply the decimal (0.8) by the number (120):

0.8 x 120 = 96

Therefore, 80 percent of 120 is 96.

Method 2: Using Fractions

Percentages can also be expressed as fractions. This method is helpful for those who prefer working with fractions.

Step 1: Convert the percentage to a fraction.

80% can be written as 80/100. This fraction simplifies to 4/5.

Step 2: Multiply the fraction by the number.

Multiply the fraction (4/5) by the number (120):

(4/5) x 120 = (4 x 120) / 5 = 480 / 5 = 96

Therefore, 80 percent of 120 is 96.

Method 3: Finding 10% and Scaling Up

This is a mental math technique useful for quick estimations or situations where a calculator isn't readily available.

Step 1: Find 10% of 120.

10% of 120 is simply 120 divided by 10, which equals 12.

Step 2: Scale up to 80%.

Since 80% is eight times 10%, multiply the result from Step 1 by 8:

12 x 8 = 96

Therefore, 80 percent of 120 is 96.

Understanding Percentage Calculations

Percentage calculations are used extensively in various fields, from finance and business to everyday life. Understanding how to calculate percentages allows you to:

  • Calculate discounts: Determine the sale price of an item.
  • Analyze data: Interpret statistical information and trends.
  • Solve real-world problems: Apply percentage calculations to various scenarios.

Conclusion

No matter which method you prefer, the answer remains consistent: 80 percent of 120 is 96. Mastering these different approaches will equip you with versatile tools to tackle percentage problems confidently and efficiently. Remember to practice regularly to build fluency and improve your mathematical skills. Understanding percentages is a valuable skill applicable in many areas of life!

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