About Percentage Increase Formula
In % form, a percentage growth describes the eventual rise in the amount. The percentage increase formula compares a quantity's growth through time from its beginning value to its final value. This formula is expressed mathematically as the difference between the end and initial values, divided by the initial value and then multiplied by 100.
We'll look at the notion of percentage increase and its formula in this section. In this section, we'll study more about the percentage growth formula with the help of a few solved cases to help us grasp the concept.
What is the percentage increase?
The difference between the end and beginning values, stated as a percentage, is called a percentage increase. The initial and enhanced (new) values are required to determine the percentage. To put it another way, a percentage rise is a measure of percent change that indicates the amount, intensity, or value of a quantity. If the % increase is negative, we can conclude that a percentage reduction of the same amount exists. Let's look at the percentage growth calculation now.
Percentage increase formula
The percentage increase formula is derived from the concept of % increase and is represented as:
It's worth noting that because the % must be positive, we use the absolute value of the starting number. A percentage decrease occurs when the percentage gain is negative. The relative change in the quantity with respect to its initial value is expressed as a percentage increase. It is a percentage rise if the percentage change is positive, and a percentage reduction if the percentage change is negative.
Solved examples of Percent Increase Formula
Example: The production of an automobile factory increases from 400 cars to 700 cars in a year. Find the percentage increase in the production of cars.
- Solution: Initial value = 400 cars; Final value = 700 cars
- Percentage Increase = [Final Value - Initial Value)/Initial Value] × 100
- = [(700 - 400)/400] × 100 = 75%
- Therefore, car production is increased by 75%.
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