what is 65 percent of 25

Natashya

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24-12-2024

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Finding a percentage of a number is a common mathematical task. This article will show you exactly how to calculate 65 percent of 25, step-by-step, and explain the underlying concepts. Whether you're tackling homework, calculating discounts, or solving real-world problems, understanding percentages is essential.

Understanding Percentages

A percentage is a fraction expressed as a number out of 100. For example, 65% means 65 out of 100, or 65/100. To find a percentage of a number, we need to convert the percentage to a decimal and then multiply.

Calculating 65% of 25

Here's how to calculate 65% of 25:

Step 1: Convert the percentage to a decimal.

To convert a percentage to a decimal, divide the percentage by 100. In this case:

65% ÷ 100 = 0.65

Step 2: Multiply the decimal by the number.

Now, multiply the decimal (0.65) by the number you want to find the percentage of (25):

0.65 x 25 = 16.25

Therefore, 65% of 25 is 16.25

Alternative Method: Using Fractions

You can also solve this using fractions. Remember that 65% is equivalent to the fraction 65/100. So, we can set up the problem as follows:

(65/100) * 25

This simplifies to:

(13/20) * 25 = 16.25

This method demonstrates the same result using a fractional approach.

Real-World Applications

Understanding how to calculate percentages is crucial in many everyday situations, including:

• Sales and discounts: Calculating the price after a discount.
• Taxes: Determining the amount of tax to pay.
• Tips: Figuring out how much tip to leave at a restaurant.
• Statistics: Interpreting data presented as percentages.

Conclusion

Calculating 65% of 25 is straightforward using either the decimal or fraction method. The answer is 16.25. Mastering percentage calculations empowers you to confidently handle various numerical problems in your daily life and academic pursuits. Remember the simple steps: convert the percentage to a decimal, and then multiply by the number.