what is 55 percent of 20

Natashya

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24-12-2024

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What is 55 Percent of 20? A Step-by-Step Guide

Finding a percentage of a number is a common calculation used in many areas of life, from calculating discounts to determining tax amounts. This article will show you how to calculate 55 percent of 20, step-by-step, and explain the underlying concepts.

Understanding Percentages

A percentage is a fraction expressed as a number out of 100. For example, 55% means 55 out of 100, or 55/100. To find a percentage of a number, we essentially multiply the number by the percentage expressed as a decimal.

Calculating 55% of 20

Here's how to calculate 55% of 20:

1. Convert the percentage to a decimal: Divide the percentage by 100. In this case, 55% / 100 = 0.55

2. Multiply the decimal by the number: Multiply 0.55 by 20. 0.55 * 20 = 11

Therefore, 55% of 20 is 11.

Alternative Method: Using Fractions

You can also solve this problem using fractions:

1. Express the percentage as a fraction: 55% can be written as 55/100.

2. Multiply the fraction by the number: (55/100) * 20 = 11

This method arrives at the same answer: 11.

Real-World Applications

Understanding percentage calculations is crucial in various everyday situations:

• Shopping: Calculating discounts on sale items.
• Finance: Determining interest earned or paid.
• Taxes: Calculating sales tax or income tax.
• Statistics: Analyzing data and trends.

Conclusion

Calculating percentages is a fundamental mathematical skill. As demonstrated above, finding 55% of 20 is a straightforward process involving simple multiplication after converting the percentage to a decimal or fraction. Mastering this skill will help you confidently tackle various percentage-related problems in your daily life. Remember, 55 percent of 20 is 11.