How to Calculate Percentage Increase and Decrease in 3 Seconds
Master the fundamental percentage change formulas for business margins, discounts, salary raises, and investment returns with real-world practical examples.
To find the percentage change from Old Value to New Value: subtract Old from New, divide the result by Old Value, then multiply by 100. Formula: ((New - Old) / Old) * 100. If the result is positive, it's an increase; if negative, it's a decrease.
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Table of Contents
The Universal Percentage Formula
Whether tracking store sales, inflation, or crypto portfolio performance, the core math formula is identical:
$$\text{Percentage Change} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100$$
Real-World Examples: Salary Raise & Discounts
Example 1: Salary Raise
If your salary increased from $4,000 to $4,600: 1. Difference: $4,600 - $4,000 = $600 2. Division: $600 / $4,000 = 0.15 3. Percentage: 0.15 × 100 = +15% increase.Example 2: Black Friday Discount
A laptop was originally $1,200 and is now on sale for $900: 1. Difference: $900 - $1,200 = -$300 2. Division: -$300 / $1,200 = -0.25 3. Percentage: -0.25 × 100 = -25% discount.Use the Free Instant Calculator
Avoid manual algebra and rounding errors by using our Percentage Difference Calculator or All-in-One Percentage Pro Calculator to calculate 3-way percentages, markups, and sales tax instantly.
Frequently Asked Questions
What is the difference between percentage and percentage points?▼
A percentage point is the simple numerical difference between two percentages. For example, if interest rates rise from 3% to 4%, that is an increase of 1 percentage point, but a 33.3% relative percentage increase.
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