Lesson: Percent of a Quantity

Introduction

In this lesson, we will learn how to find the percent of a quantity. A percentage is a way to express a number as a fraction of 100.

Key Concept

To find the percent of a quantity, you can use the formula:

$$\text{Percent of a Quantity} = \frac{ \text{Percentage}}{100} \times \text{Total Quantity}$$

Steps to Calculate Percent of a Quantity

1. Identify the percentage you want to find.
2. Identify the total quantity.
3. Convert the percentage to a decimal by dividing by 100.
4. Multiply the decimal by the total quantity.

Example

Find 25% of 200.

Step 1: Identify the percentage and total quantity.

• Percentage = 25
• Total Quantity = 200

Step 2: Convert the percentage to a decimal:

$$\frac{25}{100} = 0.25$$

Step 3: Multiply the decimal by the total quantity:

$$0.25 \times 200 = 50$$

Conclusion: 25% of 200 is 50.

Key Questions

• What is the formula for finding a percent of a quantity?
• How do you convert a percentage to a decimal?
• Can you give another example of finding a percent of a quantity?

Keywords

• Percentage
• Quantity
• Decimal
• Calculation
• Formula