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A percentage is fundamentally a fraction of 100. It's a method of putting a fraction of a whole into hundredths. For example, 50% is equal to 50 / 100, or 0.50 in decimal notation. A percentage is represented by the symbol '%'.
It is simple to convert between decimals and percentages. Divide a percentage by 100 to convert it to a decimal. On the other hand, multiply a decimal by 100 to convert it to a percentage.
We apply the following formula to get a percentage of a given value:
$V=\frac{P}{100}\times X$,
where
For example, to find 20% of 300:
$V=\frac{20}{100}\times 300=60$
On the other hand, we apply the following formula to find the percentage that one value represents of another:
$P=\frac{{X}_{1}}{{X}_{2}}\times 100$.
For example, what proportion of 200 is 80?
$P=\frac{80}{200}\times 100=40\mathrm{\%}$
Percentages are essential when handling value fluctuations. The formula is used to calculate the % change in value between two values:$P=\frac{{V}_{2}-{V}_{1}}{\mathrm{\mid}{V}_{1}\mathrm{\mid}}\times 100$.
Example 1: Percentage Increase
If a product's price increases from $200 to $240:
$P=\frac{240-200}{200}\times 100=20\mathrm{\%}$
Example 2: Percentage Decrease
On the other hand, if the cost decreases from $200 to $180:
$P=\frac{180-200}{200}\times 100=-10\mathrm{\%}$ The negative sign indicates a decrease.
Percentages are essential in financial management for tasks like discount calculations and interest rate comprehension. Percentage calculations help you make wise decisions while you're investing, budgeting, or reviewing financial statements.
In many situations in our daily lives, percentages are present. A solid understanding of percentages improves our capacity to deal with everyday obstacles, from evaluating discounts during shopping to comprehending tax ramifications.
Percentages serve as the basis for numerous topics for students studying business studies, economics, or mathematics. Gaining proficiency in calculating percentages is crucial for both academic achievement and practical applications.