Percentage Change Calculator

Original Value1,000

New Value1,250

Percentage Change

25.00%

Absolute Change

250

New as % of Original

125.00%

What is a % Change?

A Percentage Change Calculator measures how much a value has increased or decreased relative to its starting point, expressed as a percentage. Enter an original value and a new value, and the calculator returns the percentage change, the absolute change, and the new value expressed as a percentage of the original — three outputs that together give a complete picture of how a quantity has shifted.

Percentage change is the most universal metric for expressing movement across time or conditions. It appears in investment returns (a mutual fund NAV that rose from ₹45 to ₹54 is up 20%), business metrics (revenue up 34% year-on-year), inflation figures (CPI up 4.8%), school marks (improved from 68% to 79%), and even cricket statistics (batting average up 12%). What makes percentage change powerful is that it normalises the comparison — a ₹10,000 rise in a ₹50,000 investment (+20%) is directly comparable to a 20% increase in any other quantity, regardless of its units or absolute size.

The formula is: Percentage Change = ((New − Original) ÷ Original) × 100. A positive result is an increase; a negative result is a decrease. The sign carries the directional information, so a single formula handles both scenarios — unlike some textbook formulations that present separate increase and decrease formulas.

The third output — New as % of Original — is the full ratio of new to old: (New ÷ Original) × 100. When this is 125%, the new value is 25% above the original. When it is 75%, the new value is 25% below. The relationship to percentage change is: New as % of Original = 100 + Percentage Change. This metric is particularly useful in budget and performance tracking where you need the ratio of current to baseline rather than the magnitude of the change.

For understanding how compounding affects growth over multiple periods, the SIP Calculator models the compound percentage change of systematic investments over time.

How to use this % Change calculator

Enter the Original Value — the starting point, benchmark, or base value. This is the denominator in the percentage change formula. For year-on-year comparisons, the prior year's figure is the original value. For investment tracking, the purchase price or initial NAV is the original value.
Enter the New Value — the current, final, or changed value. No need to decide in advance whether it is higher or lower — the calculator handles both cases with the same formula and shows a negative result for decreases.
Read the Percentage Change — the primary output. Positive = increase, negative = decrease. The magnitude tells you how large the change is relative to where you started.
Check Absolute Change — if the percentage seems surprising, the absolute change gives the raw difference in original units, grounding the result in real terms.
Use New as % of Original for ratio framing — particularly useful when comparing to a budget (current spend is 108% of forecast = over budget by 8%) or when the percentage change alone doesn't communicate the magnitude clearly.

Formula & Methodology

Percentage Change:
Percentage Change = ((New Value − Original Value) ÷ Original Value) × 100

Absolute Change:
Absolute Change = New Value − Original Value

New Value as % of Original:
New as % of Original = (New Value ÷ Original Value) × 100

Relationship between the three:
New as % of Original = 100 + Percentage Change

Variables:
- Original Value (O) = Starting or reference value (cannot be 0)
- New Value (N) = Changed or current value

Worked example — salary increase from ₹42,000 to ₹52,500:

Percentage Change = ((52,500 − 42,000) ÷ 42,000) × 100 = (10,500 ÷ 42,000) × 100 = +25%Absolute Change = 52,500 − 42,000 = +₹10,500New as % of Original = (52,500 ÷ 42,000) × 100 = 125%

Worked example — stock price fall from ₹280 to ₹196:

Percentage Change = ((196 − 280) ÷ 280) × 100 = (−84 ÷ 280) × 100 = −30%Absolute Change = 196 − 280 = −₹84New as % of Original = (196 ÷ 280) × 100 = 70%

Assumptions and limitations:
- If Original Value = 0, percentage change is mathematically undefined (division by zero). The calculator returns 0 for this edge case
- Negative original values are valid (e.g., a loss that became a smaller loss or a profit) but interpretation requires care — a percentage change from −₹100 to −₹50 is a +50% "improvement" using this formula
- This calculator computes simple percentage change, not compound annual growth rate (CAGR) — for multi-period annualised growth, use a dedicated CAGR formula

Frequently Asked Questions

What is percentage change and how is it calculated?

Percentage change measures how much a value has increased or decreased relative to its original value, expressed as a percentage: Percentage Change = ((New Value − Original Value) ÷ Original Value) × 100. A positive result indicates an increase; a negative result indicates a decrease. For example, if a mutual fund NAV rose from ₹45 to ₹54, the percentage change is ((54 − 45) ÷ 45) × 100 = +20%. The original value is always the reference base — the denominator — regardless of whether the change is up or down.

What is the difference between percentage change and percentage point change?

Percentage change is a relative measure — it compares the change to the original value. A percentage point change is an absolute difference between two percentages. If inflation falls from 7.5% to 6.0%, the percentage point change is −1.5 percentage points, but the percentage change is ((6.0 − 7.5) ÷ 7.5) × 100 = −20%. Media headlines often blur this distinction: 'interest rates cut by 25%' (relative) versus 'interest rates cut by 25 basis points / 0.25 percentage points' (absolute) refer to very different magnitudes.

What is the difference between percentage change and absolute change?

Absolute change is simply New Value − Original Value — a number in the same unit as the values (rupees, kilograms, marks). Percentage change expresses that same difference as a proportion of the original, allowing comparison across different scales. A ₹5,000 salary increase and a ₹5,000 increase in a ₹10 lakh investment are the same absolute change, but represent +20% and +0.5% percentage changes respectively. For meaningful comparisons across different base values, percentage change is the more informative metric.

How do I calculate percentage increase?

Percentage Increase = ((New Value − Original Value) ÷ Original Value) × 100, where New Value > Original Value. If your FD matures at ₹1,18,000 against a principal of ₹1,00,000, the percentage increase is ((1,18,000 − 1,00,000) ÷ 1,00,000) × 100 = 18%. This formula gives the total increase over the entire period; to find an annual percentage change (CAGR), a different formula is needed: CAGR = (End Value ÷ Start Value)^(1/Years) − 1.

How do I calculate percentage decrease?

Percentage Decrease = ((Original Value − New Value) ÷ Original Value) × 100, where Original Value > New Value. The formula is the same as for percentage increase but the result is interpreted as a reduction. If a stock falls from ₹380 to ₹285, the percentage decrease is ((380 − 285) ÷ 380) × 100 = 25%. On this calculator, a percentage decrease shows as a negative percentage change — the sign itself tells you the direction, so you do not need to pick a separate formula.

Can percentage change exceed 100%?

Yes — percentage change exceeds 100% whenever the new value more than doubles the original. If a startup's revenue grows from ₹5 lakh to ₹15 lakh, the percentage change is ((15 − 5) ÷ 5) × 100 = +200%. A 200% increase means the value tripled. A change from ₹1 lakh to ₹10 lakh is a +900% change (10x). There is no mathematical upper bound — the limit is set by context. Decreases, however, are capped at −100% (the value going to zero) and are undefined below zero for standard percentage change.

How is percentage change used in finance and investment in India?

Percentage change is the standard format for expressing investment returns, market movements, and economic growth. A SENSEX move from 72,000 to 75,600 is a +5% change. SIP returns are quoted as XIRR (a type of annualised percentage change). GDP growth, inflation (CPI), and repo rate changes are all expressed as percentage change year-on-year. When reading equity fund factsheets, the 1-year, 3-year, and 5-year returns are compound percentage changes — not simple additions of annual returns.

How is 'New as % of Original' different from percentage change?

'New as % of Original' = (New Value ÷ Original Value) × 100. If a value rises from ₹1,000 to ₹1,250, the new value is 125% of the original. Percentage change in the same scenario is +25%. The relationship is: New as % of Original = 100 + Percentage Change. A value that is 80% of the original has decreased by 20%. This output is useful in budget tracking ('current spend is 112% of last year') and in index calculations where you need the ratio of new to base.

What is the difference between percentage change and CAGR?

Percentage change measures the total change between two points with no regard for time. CAGR (Compound Annual Growth Rate) measures the equivalent annual rate of change if growth had been perfectly smooth over a period: CAGR = (End Value ÷ Start Value)^(1/n) − 1, where n is the number of years. A ₹1 lakh investment that grows to ₹2.59 lakh over 10 years shows a 159% total percentage change, but a CAGR of 10% per annum. Use the [SIP Calculator](/sip-calculator/) or a CAGR tool when the time dimension matters.

How is percentage change used in Class 7–10 CBSE/ICSE mathematics?

CBSE and ICSE introduce percentage change under the topic 'Comparing Quantities' in Class 7 and revisit it in Class 8 in the context of compound interest, GST, and profit/loss. Standard problem types include: finding the percentage increase/decrease in price, population, production, or area; finding the original value given the changed value and the percentage change; and applying successive changes. The step-by-step breakdown on this calculator shows working in the format expected in board exams.

What does 'basis points' mean and how does it relate to percentage change?

A basis point (bps) is one-hundredth of a percentage point — 0.01%. It is used in finance to describe small changes in interest rates, bond yields, and spreads where the percentage point is too coarse. A 25 bps RBI repo rate cut = 0.25 percentage point cut. If the repo rate was 6.50% and falls by 25 bps, the new rate is 6.25% — the percentage change in the rate itself is (0.25 ÷ 6.50) × 100 = 3.85%, but the change is more precisely stated as 25 basis points rather than 0.25 percentage points to avoid ambiguity.