what is 55 of 125

Natashya

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25-12-2024

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Finding a percentage of a number is a common mathematical task. This article will clearly explain how to calculate 55% of 125, providing a step-by-step solution and demonstrating the underlying principles. We'll also explore different methods to help you understand this concept thoroughly.

Understanding Percentages

Before diving into the calculation, let's quickly review the concept of percentages. A percentage is a fraction expressed as a part of 100. For instance, 55% means 55 out of 100, which can be written as the fraction 55/100 or the decimal 0.55.

Method 1: Using Decimal Conversion

This is the most straightforward method. We convert the percentage to a decimal and then multiply it by the number.

Step 1: Convert the percentage to a decimal.

To convert 55% to a decimal, divide it by 100:

55% ÷ 100 = 0.55

Step 2: Multiply the decimal by the number.

Now, multiply the decimal (0.55) by 125:

0.55 × 125 = 68.75

Therefore, 55% of 125 is 68.75

Method 2: Using Fractions

This method involves converting the percentage to a fraction and then performing the multiplication.

Step 1: Convert the percentage to a fraction.

55% can be written as the fraction 55/100.

Step 2: Simplify the fraction (optional).

The fraction 55/100 can be simplified by dividing both the numerator and the denominator by 5:

55/100 = 11/20

Step 3: Multiply the fraction by the number.

Now, multiply the simplified fraction (11/20) by 125:

(11/20) × 125 = (11 × 125) / 20 = 1375 / 20 = 68.75

Therefore, 55% of 125 is 68.75

Method 3: Using a Proportion

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

Step 1: Set up the proportion.

We can set up a proportion as follows:

55/100 = x/125

where 'x' represents 55% of 125.

Step 2: Cross-multiply and solve for x.

Cross-multiplying gives us:

100x = 55 × 125

100x = 6875

x = 6875 / 100

x = 68.75

Therefore, 55% of 125 is 68.75

Conclusion

We've explored three different methods to calculate 55% of 125, all yielding the same result: 68.75. Choosing the method that best suits your understanding and comfort level is key. Understanding these methods will allow you to easily calculate percentages in various contexts. Remember that mastering percentage calculations is a valuable skill in numerous real-world applications, from calculating discounts to understanding financial data.