To find the percentage change from 25000 to 40000, we need to first calculate the difference between the two numbers.

It provides a standardized way to understand the magnitude of a change in relation to the initial value.

By learning how to calculate and interpret percentage change, we can gain valuable insights into various aspects of our world.

Let’s look at a step-by-step method to solve this problem:

** Step 1: Determine the initial value. First, let's identify the initial value. In this case, the initial value is 25,000.**

**Step 2: Determine the final value. Now, let's find the final value, which is 40,000.**

**Step 3: Calculate the decrease in value. To find the decrease, subtract the final value from the initial value: **

Decrease = Initial Value - Final Value

Decrease = 25,000 - 40,000

**Step 4: Calculate the percent decrease. To calculate the percent decrease, divide the decrease by the initial value and multiply by 100: **

Percent Decrease = (Decrease / Initial Value) * 100

Percent Decrease = (15,000 / 25,000) * 100

**Step 5: Simplify the fraction (if necessary). Let's simplify the fraction 15,000/25,000. Both the numerator and denominator are divisible by 5, so we get:**

Percent Decrease = (3,000 / 5,000) * 100

**Step 6: Calculate the percent. Now, let's calculate the percent decrease using a calculator or by dividing and multiplying: **

Percent Decrease = (0.6) * 100

Percent Decrease = 60%

So, the percent decrease from 25,000 to 40,000 is 60%.

**Example 1:** Percentage Increase in Salary Suppose you were earning $40,000 per year, and your salary increased to $50,000. What is the percentage increase in your salary?

**Step 1: Determine the initial value. The initial salary is $40,000.**

**Step 2: Determine the final value. The final salary is $50,000.**

**Step 3: Calculate the increase in value. Increase = Final Value - Initial Value Increase = $50,000 - $40,000 Increase = $10,000**

**Step 4: Calculate the percent increase. **

Percent Increase = (Increase / Initial Value) * 100

Percent Increase = ($10,000 / $40,000) * 100

Percent Increase = 0.25 * 100

Percent Increase = 25%

Therefore, your salary increased by 25%.

**Example 2: Percentage Decrease in Test Score Suppose you received a score of 80% on a test, and your next score dropped to 60%. What is the percentage decrease in your test score?**

**Step 1**: Determine the initial value. The initial test score is 80%.

**Step 2:** Determine the final value. The final test score is 60%.

**Step 3:** Calculate the decrease in value. Decrease = Initial Value - Final Value Decrease = 80% - 60% Decrease = 20%

**Step 4**: Calculate the percent decrease. Percent Decrease = (Decrease / Initial Value) * 100 Percent Decrease = (20% / 80%) * 100 Percent Decrease = 0.25 * 100 Percent Decrease = 25%

Therefore, your test score decreased by 25%.

**Example 3: Percentage Change in Stock Price Suppose a stock was initially priced at $100 per share, and it increased to $120 per share. What is the percentage change in the stock price?**

**Step 1:** Determine the initial value. The initial stock price is $100.

**Step 2: **Determine the final value. The final stock price is $120.

**Step 3:** Calculate the increase in value. Increase = Final Value - Initial Value Increase = $120 - $100 Increase = $20

**Step 4:** Calculate the percent increase. Percent Increase = (Increase / Initial Value) * 100 Percent Increase = ($20 / $100) * 100 Percent Increase = 0.2 * 100 Percent Increase = 20%

Therefore, the stock price increased by 20%.

These examples demonstrate how percentage change is calculated in different scenarios. Whether it's an increase in salary, a decrease in test score, or a change in stock price, the concept of percentage change helps us analyze and understand the magnitude of the change.