What percentage of 50 is 28?

To determine the percentage that 28 is of 50, we follow these steps:

1. Convert the problem into a mathematical expression. The problem can be written as:

   $\text{Percentage} = \left( \frac{28}{50} \right) \times 100$

2. Calculate the fraction.

   $$\frac{28}{50} = 0.56$$

3. Multiply the result by 100 to get the percentage:

   $$0.56 \times 100 = 56$$

So, 28 is 56 percent of 50.

Understanding the Percentage Formula

The percentage formula is used to determine how one number relates to another number in terms of 100. It is commonly used in various fields such as finance, statistics, and everyday calculations.

Basic Formula

The basic formula to calculate the percentage is:

Here, the part represents the quantity you're interested in, and the whole is the total or complete quantity.

Example Calculation

Suppose you scored 45 marks out of a total of 60 marks in an exam. To find the percentage:

Breaking it down:

So, your score is 75%.

Rearranging the Formula

You can also rearrange the formula to find either the part or the whole if you have the percentage and one of the other quantities:

Finding the Part

Finding the Whole

Application Example

If you know that 60% of a class of 50 students passed an exam, you can find out how many students passed (the Part):

Thus, 30 students passed the exam.

Summary

• The percentage formula helps in comparing values relative to 100.
• Basic formula: $\left( \frac{\text{Part}}{\text{Whole}} \right) \times 100$
• Can be rearranged to find unknown quantities (part or whole).

Understanding percentages is vital for data analysis, budgeting, and various other practical applications in daily life and professional settings.

Explanation to Fraction to Percentage Conversion

The conversion from a fraction to a percentage is a method used to represent a fraction in the form of a percentage. This helps in simplifying the comparison of proportions.

The Concept

A fraction is a way of expressing a part of a whole and is written in the form $\frac{a}{b}$, where $a$ is the numerator (part) and $b$ is the denominator (whole).

A percentage is a way of expressing a number as a fraction of 100. It's often used to represent how large or small one quantity is relative to another.

Conversion Steps

1. Divide the Numerator by the Denominator: To start, you divide the numerator by the denominator to get a decimal.

   $$\text{Decimal} = \frac{a}{b}$$

2. Multiply by 100: The next step is to convert this decimal into a percentage by multiplying it by 100.

   $$\text{Percentage} = \left( \frac{a}{b} \right) \times 100$$

Example

Convert the fraction $\frac{3}{4}$ to a percentage:

First, divide the numerator by the denominator:

Next, multiply the result by 100 to get the percentage:

So, $\frac{3}{4}$ is equivalent to $75\%$.

Important Points

• Remember to multiply by 100 after converting the fraction to a decimal.
• A percentage is always based on a whole of 100.

Summary

By following these steps, any fraction can be easily converted to a percentage. This helps in making comparisons and understanding proportions in a more straightforward manner.