Percentage
The concept of percentage is a fundamental mathematical concept used to express a proportion or a part of a whole in terms of a fraction of 100. Percentages are denoted by the symbol "%". Here are some basic concepts related to percentages:
Definition: A percentage is a fraction of 100. For example, 25% means 25 out of 100, or 25/100, which is equivalent to 0.25.
Calculation: To convert a percentage to a decimal, you divide by 100. For example, 40% is 40/100 = 0.40. To convert a decimal to a percentage, you multiply by 100. For example, 0.75 is 0.75 × 100 = 75%.
Representations: Percentages can be represented in different ways. For example, 50% is the same as 0.5 or 1/2.
Applications: Percentages are commonly used in various real-life situations such as calculating discounts, taxes, interest rates, proportions, growth rates, and many more.
Percentage Change: It's often useful to calculate the percentage change between two values. This is done using the formula: