Question:

Could you elucidate the process of transforming a percentage into its decimal equivalent?

Answer:

A percentage represents a number out of 100. For example, 45% means 45 out of 100. To convert this to a decimal, we divide the percentage by 100.

The Conversion Process:

Here’s the step-by-step process to convert a percentage to a decimal:

1.

Identify the Percentage:

Determine the percentage value that you want to convert.

2.

Divide by 100:

Simply divide the percentage by 100. This can be done by moving the decimal point two places to the left.

3.

Result is the Decimal Equivalent:

The result of this division is the decimal equivalent of the percentage.

Example Conversion:

Let’s take 75% as an example.

• Written as a fraction, 75% is \( \frac{75}{100} \).
• To convert it to a decimal, we divide 75 by 100, which gives us 0.75.

So, \( 75\% = 0.75 \) in decimal form.

Why This Works:

This conversion works because percentages are inherently based on the number 100, which is the basis for our decimal system. By dividing by 100, we’re essentially aligning the percentage with the decimal structure.

Practical Application:

Understanding how to convert percentages to decimals is useful in various real-life scenarios, such as calculating discounts, determining interest rates, or analyzing statistical data.

In Summary:

Converting percentages to decimals is a basic math skill that is essential for everyday calculations. Remember, all you need to do is divide by 100, and you’ll have your decimal!

I hope this explanation helps clarify the process for you! If you have any more questions about basic math concepts, feel free to ask.