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Chapter 0: Problem 122

What is \(26 \%\) of \(480 ?\)

Short Answer

Expert verified
26% of 480 is 124.8.

Step by step solution

01

- Convert Percentage to Decimal

To find 26% of 480, first convert the percentage to a decimal. To do this, divide the percentage by 100: \[ 26\text{ %} = \frac{26}{100} = 0.26 \]
02

- Multiply by the Number

Next, multiply the decimal by the given number. Here, multiply 0.26 by 480: \[ 0.26 \times 480 = 124.8 \]
03

- Interpret the Result

The final result of the multiplication gives you the value that is 26% of 480. Therefore, \[ 26\text{ % of }480 = 124.8 \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Convert Percentage to Decimal
To convert a percentage into a decimal, you need to divide it by 100. This is because a percentage is essentially a number out of 100. So, for example, to convert 26% to a decimal, you divide 26 by 100: \t \[ \frac{26}{100} = 0.26 \] Now, 26% is represented as 0.26 in decimal form. This step is crucial because working with decimals makes the final multiplication easier and more straightforward.
Multiplication
Once we have the decimal, the next step is to multiply it by the number in question. In our example, the decimal form of 26% (which is 0.26) needs to be multiplied by 480. Through multiplication, you find what portion of the whole number corresponds to the percentage:\[ 0.26 \times 480 = 124.8 \]Multiplication helps in breaking down the problem and simplifies the arithmetic involved. Remember: Always perform the multiplication carefully to avoid small mistakes that can lead to incorrect results.
Interpreting Results
The last step is to interpret the result of the multiplication. From our example, the multiplication gave us 124.8. This means that 26% of 480 equals 124.8. In practical terms, if you were dealing with quantities, money, or measurements, 26% of those 480 units would be 124.8 units. This final interpretation helps you verify and understand what your computed percentage represents in the given context.

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