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Understanding percentages is crucial for comparing data sets and making calculations in various contexts. This overview covers the basics of percentages, including how to calculate them from raw data, find specific percentages of amounts, convert between fractions, decimals, and percentages, and understand percentage changes. Additionally, it provides practical applications for percentage increase and decrease, such as in property valuation and sales discounts.

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## Definition of Percentages

### Origin of Percentages

Percentages originated from the Latin phrase 'per centum' meaning 'by the hundred'

### Representation of Percentages

Denotation of Percentages

Percentages are denoted by the symbol (%)

Calculation of Percentages

Percentages are calculated by dividing the part by the total and multiplying by 100

### Importance of Percentages

Percentages are useful for comparing data sets and normalizing values to a consistent scale

## Converting Percentages

### Relationship between Percentages, Fractions, and Decimals

Percentages, fractions, and decimals are different ways of expressing proportions and can be converted into each other

### Converting Decimals to Percentages

To convert a decimal to a percentage, multiply it by 100

### Converting Percentages to Decimals

To convert a percentage to a decimal, divide it by 100

## Calculating Percentage Change

### Definition of Percentage Change

Percentage change measures the increase or decrease in a value relative to its original amount

### Formula for Calculating Percentage Change

Percentage change is calculated by finding the difference between the initial and subsequent value, divided by the original amount and multiplied by 100%

### Applications of Percentage Change

Percentage change is useful in economic contexts, such as monitoring price fluctuations or adjusting prices for sales