what percentage is 28 out of 35

2 min read 26-12-2024

Knowing how to calculate percentages is a valuable skill in many areas of life, from figuring out sale discounts to understanding statistics. This article will walk you through calculating what percentage 28 is out of 35, and provide you with the formula and steps to solve similar problems in the future.

Understanding Percentages

A percentage is a fraction of 100. It represents a portion of a whole. The symbol "%" signifies a percentage. To express a fraction as a percentage, you need to convert it into a fraction with a denominator of 100.

Calculating the Percentage: 28 out of 35

Here's how to calculate what percentage 28 represents of 35:

Step 1: Set up the Fraction

First, represent the problem as a fraction: 28/35. This fraction shows 28 as a part of the whole, 35.

Step 2: Convert the Fraction to a Decimal

Divide the numerator (28) by the denominator (35):

28 ÷ 35 = 0.8

Step 3: Convert the Decimal to a Percentage

Multiply the decimal by 100%:

0.8 x 100% = 80%

Therefore, 28 out of 35 is 80%.

The Formula for Calculating Percentages

The general formula for calculating percentages is:

(Part / Whole) x 100% = Percentage

In this case:

(28 / 35) x 100% = 80%

Practical Applications

Understanding percentage calculations is crucial in various real-world scenarios, including:

Sales and Discounts: Determining the savings on sale items.
Grades and Scores: Calculating your percentage grade on a test or assignment.
Finance: Calculating interest rates, profits, and losses.
Data Analysis: Interpreting statistical data and representing it visually.

Beyond the Basics: Simplifying Fractions

Notice that the fraction 28/35 can be simplified before performing the division. Both the numerator and denominator are divisible by 7:

28 ÷ 7 = 4 35 ÷ 7 = 5

This simplifies the fraction to 4/5. Now, divide 4 by 5:

4 ÷ 5 = 0.8

Multiplying by 100% still gives you 80%. Simplifying fractions can make calculations easier, especially with larger numbers.

Conclusion

Calculating percentages is a straightforward process. By understanding the formula and the steps involved, you can confidently solve percentage problems in various contexts. Remember the key steps: form a fraction, convert to a decimal, and then multiply by 100% to obtain the percentage. In this instance, we've definitively shown that 28 out of 35 is 80%.