1. Subtract initial value from new value: '+v2+' – '+v1+' = '+diff.toFixed(2)+'
2. Divide difference by initial value: '+diff.toFixed(2)+' / '+v1+' = '+(diff/v1).toFixed(4)+'
3. Multiply by 100 to get percentage: '+(diff/v1).toFixed(4)+' * 100 = '+perc+'%
1. Convert percentage to decimal: '+v2+' / 100 = '+(v2/100).toFixed(2)+'
2. Multiply initial value by decimal: '+v1+' * '+(v2/100).toFixed(2)+' = '+incAmt.toFixed(2)+'
3. Add increase amount to initial value: '+v1+' + '+incAmt.toFixed(2)+' = '+total.toFixed(2)+'
1. Convert percentage to decimal: '+v2+' / 100 = '+(v2/100).toFixed(2)+'
2. Add 1 to decimal: 1 + '+(v2/100).toFixed(2)+' = '+(1+(v2/100)).toFixed(2)+'
3. Divide final value by result: '+v1+' / '+(1+(v2/100)).toFixed(2)+' = '+orig.toFixed(2)+'
Calculator Use
This percentage increase calculator is a versatile tool designed to help you quickly determine the change between two values or calculate a final amount based on a percentage growth. Whether you are tracking business revenue growth, assessing a salary raise, or calculating inflation impacts, this tool provides instant accuracy.
To use the calculator, select your desired mode from the dropdown menu:
- Percentage Increase: Finds the percentage growth from an old value to a new value.
- New Value: Calculates what a starting amount becomes after a specific percentage is added.
- Original Value: Reverses a percentage increase to find the starting figure.
How It Works
The math behind a percentage increase calculator relies on the ratio of the difference between two numbers relative to the starting number. Understanding the underlying formula allows you to perform these calculations manually when needed.
Percentage Increase = [(New Value – Initial Value) / |Initial Value|] × 100
Here is the breakdown of the variables:
- New Value: The current or final amount after growth.
- Initial Value: The starting amount or the "old" price/quantity.
- Difference: The absolute change (New Value minus Initial Value).
Calculation Examples
Example 1: Salary Increase
Imagine you earned $50,000 last year and received a raise to $53,500 this year. To find the percentage increase:
- Initial Value = $50,000
- New Value = $53,500
- Subtract: $53,500 – $50,000 = $3,500
- Divide: $3,500 / $50,000 = 0.07
- Multiply by 100: 0.07 × 100 = 7%
- Result: Your salary increased by 7%.
Example 2: Adding a Markup
A retailer buys a product for $80 and wants to apply a 25% markup. To find the new selling price:
- Initial Value = $80
- Increase = 25% (0.25 in decimal)
- Calculate Increase Amount: $80 × 0.25 = $20
- Add to Initial: $80 + $20 = $100
- Result: The new selling price is $100.
Common Questions
What is the difference between percent increase and percent change?
Percent change is a broad term that covers both increases and decreases. When the new value is higher than the old, it is a percentage increase. When the new value is lower, it is a percentage decrease. The percentage increase calculator specifically highlights growth.
Can percentage increase be more than 100%?
Yes. If a value more than doubles, the increase is over 100%. For example, if a stock price goes from $10 to $30, the increase is 200% because the growth ($20) is twice the size of the original value ($10).
How is this used in finance?
Investors use the percentage increase formula to calculate "Return on Investment" (ROI). It helps compare the performance of different assets by standardizing gains into a percentage format, regardless of the initial dollar amount invested.