what is 10 of 480

Natashya

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26-12-2024

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What is 10% of 480? A Simple Guide to Percentage Calculations

Finding 10% of a number is a fundamental percentage calculation that comes up frequently in everyday life – from calculating sales tax to understanding discounts. This article will walk you through how to calculate 10% of 480, and then show you different methods to solve similar problems. Knowing this skill will help you tackle more complex percentage questions with confidence.

Understanding Percentages

A percentage is a fraction of 100. For example, 10% means 10 out of 100, or 10/100, which simplifies to 1/10. Calculating a percentage of a number involves finding that fraction of the number.

Method 1: Using the Decimal Equivalent

The easiest way to calculate 10% of 480 is to convert the percentage to its decimal equivalent. To do this, divide the percentage by 100.

• 10% ÷ 100 = 0.10

Now, multiply the decimal by the number:

• 0.10 x 480 = 48

Therefore, 10% of 480 is $\boxed{48}$.

Method 2: Dividing by 10

Since 10% is equivalent to 1/10, another quick way to find 10% of a number is to simply divide it by 10.

• 480 ÷ 10 = 48

This method works because dividing by 10 is the same as multiplying by 0.1. Again, we arrive at the answer: 10% of 480 is $\boxed{48}$.

Method 3: Using Proportions

For more complex percentage problems, setting up a proportion can be helpful. We can set up a proportion like this:

• 10/100 = x/480

To solve for x (10% of 480), cross-multiply:

• 10 * 480 = 100 * x
• 4800 = 100x
• x = 4800 / 100
• x = 48

This method confirms that 10% of 480 is $\boxed{48}$.

Calculating Other Percentages of 480

Now that you understand how to find 10%, you can easily calculate other percentages of 480. For example:

• To find 20%: Double the result of 10% (48 x 2 = 96)
• To find 5%: Take half of the result of 10% (48 / 2 = 24)
• To find 15%: Add 10% and 5% (48 + 24 = 72)
• To find any percentage: Convert the percentage to a decimal and multiply by 480.

Conclusion

Calculating 10% of 480, or any percentage for that matter, is a straightforward process. By understanding the basic principles of percentages and employing these simple methods, you can confidently tackle various percentage calculations in your daily life and beyond. Remember that 10% of 480 is $\boxed{48}$.