What is Percentage Increase?
Percentage increase measures the relative growth or rise in value from an initial starting point to a new final point, expressed as a proportion of 100. It is one of the most widely used mathematical concepts across corporate finance, retail pricing, investment analysis, scientific experiments, and personal budgeting.
Unlike absolute difference (which merely shows how many units were added), percentage increase provides vital context by showing how significant the change was relative to where you started. For instance, an increase of $10 on a $20 product is a substantial 50% increase, whereas the same $10 increase on a $1,000 laptop is only a 1% increase.
The Percentage Increase Formula
To calculate percentage increase between an original value ($V_1$) and a new value ($V_2$), use the universal formula:
The 3-step calculation breakdown is simple:
- Find the difference: Subtract the initial starting value from the new final value ($V_2 - V_1$).
- Divide by initial value: Divide that difference by the absolute starting value ($|V_1|$).
- Multiply by 100: Multiply the decimal result by 100 to convert it into a standard percentage.
Solved Example: Calculating Salary Growth
Suppose an employee’s salary was $50,000 per year and after an annual performance review was raised to $62,500. What was the percentage increase?
- Step 1: Difference = $62,500 - $50,000 = $12,500
- Step 2: Relative ratio = 12,500 / 50,000 = 0.25
- Step 3: Percentage = 0.25 × 100% = +25%
The employee received a 25% salary increase.
Percentage Increase vs. Percentage Points
A common source of confusion in financial news and statistics is the difference between a percentage increase and an increase in percentage points:
Percentage Points
The straightforward arithmetic difference between two percentage numbers. If an interest rate climbs from 5% to 7%, the increase is 2 percentage points (7% - 5%).
Percentage Increase
The rate of change relative to the initial 5%. Moving from 5% to 7% represents a 40% increase: ((7 - 5) / 5) × 100% = 40%.
Everyday Applications of Percentage Increase
✓ Business Revenue & Growth
Track month-over-month (MoM) and year-over-year (YoY) revenue improvements, user acquisition rates, and sales margins.
✓ Investments & Stocks
Measure capital gains and portfolio growth by comparing purchase price against current trading values.
✓ Inflation & Cost of Living
Understand price hikes on groceries, fuel, rent, and utility bills over time to adjust household budgets.
✓ Fitness & Performance
Quantify athletic progress, such as weightlifting PRs, running pace speedups, and training endurance capacity.
Frequently Asked Questions
How do I calculate percentage increase?
Subtract the initial value from the new value, divide by the absolute initial value, and multiply by 100. For example, if a value rises from 40 to 50: ((50 - 40) / 40) × 100% = (10 / 40) × 100% = 25%.
What happens if the result is negative?
A negative result means the value decreased rather than increased. For example, changing from 100 to 80 yields -20%, which represents a 20% decrease.
Can you calculate percentage increase from zero?
Mathematically, percentage increase from zero is undefined because division by zero is impossible. Any finite number represents an infinite percentage increase compared to zero.
How do I calculate the new value if I know the original value and percentage increase?
Use the "Find New Value" tab in our calculator above, or use the formula: Final Value = Initial Value × (1 + (Percentage / 100)). For example, $80 with a 25% increase is 80 × 1.25 = $100.
What is a 100% increase?
A 100% increase means the value has doubled (2× the original value). A 200% increase means the value has tripled (3× the original value).
Is this calculator free to use?
Yes! It is completely free with no usage limits, no ads, and no sign-up needed.