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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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Percentages originated from the Latin phrase 'per centum' meaning 'by the hundred'
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
Percentages are useful for comparing data sets and normalizing values to a consistent scale
Percentages, fractions, and decimals are different ways of expressing proportions and can be converted into each other
To convert a decimal to a percentage, multiply it by 100
To convert a percentage to a decimal, divide it by 100
Percentage change measures the increase or decrease in a value relative to its original amount
Percentage change is calculated by finding the difference between the initial and subsequent value, divided by the original amount and multiplied by 100%
Percentage change is useful in economic contexts, such as monitoring price fluctuations or adjusting prices for sales
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Origin of 'percentage'
Derived from Latin 'per centum' meaning 'by the hundred'.
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Percentage symbol meaning
The '%' symbol represents a ratio or fraction out of 100.
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Percentage usage example
If 62 out of 100 students have brown hair, 62% of students have brown hair.
