10+ Calculate Percentage Increase Examples: Essential Formulas

Introduction to Percentage Increase

Calculating the percentage increase is a fundamental concept in mathematics and statistics, which is used to determine the difference in value between two numbers as a percentage of the original value. The percentage increase formula is widely applied in various fields, such as finance, economics, and science, to measure growth, profit, and change over time. In this article, we will explore the essential formulas and provide 10+ examples to illustrate the calculation of percentage increase in different contexts.

Understanding the Percentage Increase Formula

The percentage increase formula is given by: [ \text{Percentage Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 ] This formula calculates the difference between the new value and the old value, divides it by the old value, and then multiplies by 100 to express the result as a percentage.

Examples of Percentage Increase

Here are 10+ examples to demonstrate the calculation of percentage increase in various scenarios:

• Example 1: Calculate the percentage increase in the price of a stock from 50 to 60. [ \text{Percentage Increase} = \left( \frac{60 - 50}{50} \right) \times 100 = 20\% ]
• Example 2: Determine the percentage increase in the population of a city from 100,000 to 120,000. [ \text{Percentage Increase} = \left( \frac{120,000 - 100,000}{100,000} \right) \times 100 = 20\% ]
• Example 3: Calculate the percentage increase in the sales revenue of a company from 1 million to 1.2 million. [ \text{Percentage Increase} = \left( \frac{1,200,000 - 1,000,000}{1,000,000} \right) \times 100 = 20\% ]
• Example 4: Find the percentage increase in the height of a plant from 10 cm to 12 cm. [ \text{Percentage Increase} = \left( \frac{12 - 10}{10} \right) \times 100 = 20\% ]
• Example 5: Calculate the percentage increase in the temperature from 20°C to 24°C. [ \text{Percentage Increase} = \left( \frac{24 - 20}{20} \right) \times 100 = 20\% ]
• Example 6: Determine the percentage increase in the number of students in a class from 20 to 24. [ \text{Percentage Increase} = \left( \frac{24 - 20}{20} \right) \times 100 = 20\% ]
• Example 7: Calculate the percentage increase in the cost of living from 30,000 to 36,000. [ \text{Percentage Increase} = \left( \frac{36,000 - 30,000}{30,000} \right) \times 100 = 20\% ]
• Example 8: Find the percentage increase in the number of employees in a company from 50 to 60. [ \text{Percentage Increase} = \left( \frac{60 - 50}{50} \right) \times 100 = 20\% ]
• Example 9: Calculate the percentage increase in the production capacity from 100 units to 120 units. [ \text{Percentage Increase} = \left( \frac{120 - 100}{100} \right) \times 100 = 20\% ]
• Example 10: Determine the percentage increase in the revenue from 500,000 to 600,000. [ \text{Percentage Increase} = \left( \frac{600,000 - 500,000}{500,000} \right) \times 100 = 20\% ]
• Example 11: Calculate the percentage increase in the number of customers from 1000 to 1200. [ \text{Percentage Increase} = \left( \frac{1200 - 1000}{1000} \right) \times 100 = 20\% ]

📝 Note: The percentage increase formula can be applied to any two values to calculate the difference as a percentage of the original value.

Summary of Key Points

To calculate the percentage increase, use the formula: [ \text{Percentage Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 ] This formula is essential in various fields, including finance, economics, and science, to measure growth, profit, and change over time.

The examples provided demonstrate the application of the percentage increase formula in different contexts, including stock prices, population growth, sales revenue, and more. By using this formula, you can easily calculate the percentage increase between two values and make informed decisions based on the results.

In summary, the percentage increase formula is a powerful tool for measuring change and growth, and its applications are diverse and widespread. By mastering this formula, you can gain valuable insights into various phenomena and make data-driven decisions.