Verified Answer :

  • Identify the percentage as a fraction of 100: \(25\% = \frac{25}{100}\).
  • Perform the division to convert the fraction into a decimal: \(\frac{25}{100} = 0.25\).
  • Final Answer: \(\boxed{0.25}\).

Explanation

  1. Understanding the Problem

The objective is to convert the percentage value \(25\%\) into its decimal representation. A percentage is a way of expressing a number as a fraction of 100. By definition, any percentage \(x\%\) can be written as \(\frac{x}{100}\).

  1. Converting Percentage to Decimal

To convert \(25\%\) to a decimal, we substitute \(x = 25\) into the formula \(\frac{x}{100}\):
\[25\% = \frac{25}{100}\]
Performing the division, we find:
\[\frac{25}{100} = 0.25\]
Thus, the decimal equivalent of \(25\%\) is \(0.25\).

Examples

Percentages are widely used in daily life for things like discounts and interest rates. For example, if a store offers a 25% discount on a item, you are essentially paying 75% of the original price. Converting this percentage to a decimal, \(0.25\), makes it easy to calculate the amount saved on an item that costs, say, \(\$80\), by simply multiplying: \(80 \times 0.25 = \boxed{\$20}\).