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Understanding percentage increases and decreases is crucial for analyzing financial, scientific, and statistical data. This guide explains how to calculate these changes using simple formulas. Learn to adjust values by a given percentage and analyze changes over time, with examples like price adjustments and account balance evaluations.

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## Fundamental Mathematical Concepts

### Percentage

A ratio that represents a part of a whole as a fraction of 100

### Calculating Percentage

Percentage of a Number

To find a percentage of a number, multiply the number by the percentage and divide by 100

Percentage Increase

To calculate a percentage increase, identify the absolute increase, divide by the original number, and multiply by 100

Percentage Decrease

To calculate a percentage decrease, find the absolute decrease, divide by the original number, and multiply by 100

### Adjusting Values by Percentage

To adjust a value by a given percentage, calculate the percentage of the original value and add or subtract it from the original value

## Analyzing Percentage Change

### Formula for Percentage Change Over Time

To analyze percentage change over a period of time, use the formula: Percentage Change Over Time = ((New Number / Original Number) - 1) x (100 / Time Period)

### Positive and Negative Percentage Change

A positive result indicates growth, while a negative result indicates a decline

### Practical Applications

Understanding percentage increases and decreases has practical applications in fields such as economics, business, and science