How do you calculate an amount to find the added percentage 

To calculate the added percentage when you know the original amount and the new amount, you can use the following steps:

### Formula:
\[
\text{Added Percentage} = \left( \frac{\text{New Amount} - \text{Original Amount}}{\text{Original Amount}} \right) \times 100\%
\]

### Step-by-Step Process:
1. **Determine the original amount** (initial value before the increase).
2. **Determine the new amount** (value after the increase).
3. **Subtract the original amount from the new amount** to find the difference. This gives the amount of increase.
4. **Divide the amount of increase by the original amount** to find the proportion of increase.
5. **Multiply by 100** to convert the proportion to a percentage.

### Example:
Suppose the original amount is \( 200 \) and the new amount is \( 250 \).

1. **Original amount**: \( 200 \)
2. **New amount**: \( 250 \)
3. **Difference**: \( 250 - 200 = 50 \)
4. **Proportion of increase**: \( \frac{50}{200} = 0.25 \)
5. **Convert to percentage**: \( 0.25 \times 100 = 25\% \)

The added percentage is \( 25\% \).

Would you like more details or have any questions about this calculation?

Here are some related questions to explore further:

1. How can you calculate the percentage decrease between two amounts?
2. What is the formula to calculate the original amount if the new amount and percentage increase are known?
3. How do you calculate the percentage change when dealing with negative values?
4. How can this method be applied in financial growth calculations, like interest rates?
5. What is the difference between percentage increase and percentage point increase?

**Tip:** Always ensure that the original amount is not zero, as division by zero is undefined in percentage calculations.

How do you calculate an amount to find the added percentage?

Learn how to calculate the added percentage between two amounts with a step-by-step guide. This example explains how to find the percentage increase from 200 to 250, using the formula for percentage change. Perfect for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation