39 48 as a percentage

2 min read 23-02-2025

So, you want to know how to calculate 39 as a percentage of 48? Understanding percentages is a fundamental skill with applications in many areas of life, from calculating discounts to understanding statistics. This article will guide you through the process step-by-step, explaining the concept and providing you with a simple formula. We'll also look at how to perform this calculation using a calculator and explore some real-world examples.

Understanding Percentages

A percentage is a fraction of 100. When we say "x percent," we mean "x out of 100." To express a fraction or a decimal as a percentage, we multiply it by 100 and add the percent sign (%).

Calculating 39 as a Percentage of 48

Here's how to calculate 39 as a percentage of 48:

Step 1: Set up the Equation

The basic formula for calculating a percentage is:

(Part / Whole) * 100%

In this case:

Part: 39
Whole: 48

Therefore, our equation becomes:

(39 / 48) * 100%

Step 2: Perform the Division

Divide 39 by 48:

39 / 48 = 0.8125

Step 3: Multiply by 100%

Multiply the result by 100 to convert the decimal to a percentage:

0.8125 * 100% = 81.25%

Therefore, 39 is 81.25% of 48.

Using a Calculator

Most calculators have a percentage function. Simply enter "39 ÷ 48 =" and then multiply by 100. Many calculators will even automatically display the answer as a percentage.

Real-World Examples

Understanding percentage calculations is incredibly useful in everyday life. Here are a few examples:

Discounts: A store offers a 20% discount on an item originally priced at $48. To calculate the discount, you would find 20% of 48 ((20/100)*48 = $9.60) and subtract it from the original price.
Taxes: If sales tax is 6%, and an item costs $39, you would calculate 6% of 39 ((6/100)*39 = $2.34) to find the amount of tax.
Grades: If you answered 39 questions correctly out of 48 on a test, your score is 81.25%.
Surveys: If 39 out of 48 respondents answered "yes" to a survey question, that's 81.25% of respondents.

How to Calculate Percentage Increase or Decrease

Sometimes you need to know the percentage change between two numbers. Here's how to calculate that:

Percentage Increase: [(New Value - Old Value) / Old Value] * 100%
Percentage Decrease: [(Old Value - New Value) / Old Value] * 100%

For example, if a value increased from 39 to 48:

[(48 - 39) / 39] * 100% = 23.08% increase

Conclusion

Calculating percentages is a valuable skill. By following the simple steps outlined above, you can easily determine that 39 is 81.25% of 48. Remember the formula (Part / Whole) * 100% and practice applying it to various real-world scenarios. Mastering percentages can help you make informed decisions in many aspects of your life.