📈 Calculate Percentage Change
Find the percentage increase or decrease between two values
⚡ Quick Percentage Change Reference
How to Calculate Percentage Change
Percentage change tells you how much a value has increased or decreased relative to its original value. It is one of the most commonly used calculations in business, finance, science and everyday life — from tracking stock price changes to calculating salary increases to measuring population growth.
Percentage Increase vs Percentage Decrease
When the new value is higher than the original the result is a percentage increase shown as a positive number. When the new value is lower it is a percentage decrease shown as a negative number. Our calculator automatically identifies whether the change is an increase or decrease and labels it clearly.
Common Uses of Percentage Change
- Salary increases and raises — calculating how much your pay went up
- Price changes — how much did something cost more or less
- Stock and investment returns — portfolio growth or loss
- Weight loss and gain — tracking body weight changes
- Business metrics — revenue growth, user growth, conversion rate changes
- Test scores — improvement from one test to the next
- Population and demographic changes
Percentage Change Calculator — Increase, Decrease and Growth Rate
Percentage change expresses how much a value has grown or shrunk relative to its starting point. It is one of the most frequently used calculations in finance, business, economics and everyday life — comparing prices, tracking investment returns, measuring growth rates and understanding statistical changes all require percentage change. Our calculator handles both increase and decrease in any direction, and also includes reverse calculation (finding the original value) and compound change over multiple periods.
The Percentage Change Formula
Percentage Change = ((New Value − Old Value) ÷ Old Value) × 100. A positive result means an increase; negative means a decrease. For a price rising from $40 to $54: ((54−40)÷40) × 100 = 35% increase. For a price falling from $120 to $90: ((90−120)÷120) × 100 = −25%, a 25% decrease. The reverse calculation — finding the original value — uses: Original = New Value ÷ (1 + Percentage Change ÷ 100). This is the correct reverse formula; simply adding or subtracting the percentage from the new value is always wrong. Use our percentage calculator for finding percentages of values and our percentage increase calculator for quick directional calculations.
| Old Value | New Value | Change | % Change |
|---|---|---|---|
| $50 | $75 | +$25 | +50% |
| $200 | $150 | −$50 | −25% |
| 1,000 | 1,200 | +200 | +20% |
| $8.50 | $10.00 | +$1.50 | +17.6% |
Percentage Change vs Percentage Points — A Critical Distinction
Percentage change and percentage point change measure different things and can produce dramatically different numbers for the same underlying fact. If unemployment rises from 4% to 6%, that is a 2 percentage point increase but a 50% percentage change ((6-4)/4 × 100). If interest rates rise from 1% to 2%, that is 1 percentage point but a 100% increase. Politicians, advertisers and media commonly switch between these measures to emphasise whichever sounds more impressive or less alarming. Always determine which measure is being used before forming a judgment. "Crime fell by 50%" using a percentage change from 4 incidents to 2 sounds dramatic — saying "crime fell by 2 incidents" tells the full story. Both are accurate; the framing differs.
Percentage Change in Finance — Investment Returns
Investment returns are expressed as percentage change from purchase price to current or sale price. If a stock bought at $45 is now at $67.50: return = ((67.50-45)/45) × 100 = 50%. For dividend-paying investments, total return includes both price appreciation and dividends received. Importantly, percentage losses and gains are asymmetric: losing 50% requires a 100% gain to recover. Losing 20% requires a 25% gain. This asymmetry means protecting against losses is mathematically more valuable than chasing equivalent gains — known as the "loss aversion" foundation in investment risk management. Tracking percentage change in portfolio value uses the same formula as any other percentage change calculation.
| Loss | Required Gain to Break Even | Explanation |
|---|---|---|
| −10% | +11.1% | $100→$90; need $90→$100 |
| −25% | +33.3% | $100→$75; need $75→$100 |
| −50% | +100% | $100→$50; need $50→$100 |
| −75% | +300% | $100→$25; need $25→$100 |
Year-over-Year and Month-over-Month Growth
Year-over-year (YoY) compares a period to the same period in the prior year — eliminating seasonal effects. Month-over-month (MoM) compares consecutive months. Both use the same percentage change formula: ((Current − Prior) ÷ Prior) × 100. YoY is preferred for businesses with strong seasonality (retail, tourism, agriculture) because comparing December to November or July to June reflects seasonal patterns rather than underlying business trends. MoM is better for tracking fast-moving metrics or identifying inflection points. Quarterly growth (QoQ) falls between the two — useful for business reporting cycles. Our calculator handles any time period — just enter the starting and ending values to calculate growth rate.
Percentage Change in Everyday Life
Percentage change appears constantly in daily decisions. Price comparisons: if a grocery item increased from $3.20 to $3.85, the percentage increase is 20.3% — significantly above general inflation. Pay rises: a salary increase from $52,000 to $55,900 is a 7.5% raise. Home values: a house bought for $320,000 now worth $410,000 has appreciated 28.1%. Energy bills: monthly electricity costs rising from $85 to $112 is a 31.8% increase. Fitness tracking: losing 8 lbs from 185 lbs is a 4.3% body weight reduction. Our percentage change calculator handles all of these scenarios instantly — enter any two values and see the change, percentage and direction in one step.
Percentage Change in Business and Economics
Businesses track percentage changes across revenue, costs, margins, headcount and dozens of other metrics to understand performance trends. GDP growth is reported as quarterly and annual percentage change. Inflation is the percentage change in the consumer price index. Stock market indices are reported as daily percentage change. Unemployment figures are often compared YoY as percentage point changes. Understanding whether a number represents a percentage change (relative to a base) or a percentage point change (absolute difference between percentages) is essential for interpreting business and economic news accurately. Our percentage change calculator is the fastest way to verify any published growth figure or calculate your own from raw data — useful for financial analysis, business presentations, academic research and informed decision-making in any context where growth rates matter.
Across finance, business, economics and daily life, percentage change is the most universally useful calculation for understanding how things are moving — faster than absolute numbers and more meaningful than raw differences. Enter any two values in our calculator above to instantly see the percentage change, absolute change and direction, whether you are tracking prices, performance metrics, investment returns, body measurements or any other quantity that changes over time.