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Percent Change Calculator
Delta · Direction · Decision

Percent Change+ reverse it

Find the % between two numbers — increase or decrease, in one expression. Or work backwards: recover the original value, or project the final after a known change.

01Mode

Old value → new value

Formula
((new − old) ÷ |old|) × 100
02Examples
%

Enter values and compute. Increases shimmer emerald; decreases burn rose.

§The formula

Old value is the baseline. Sign carries the direction.

((new − old) ÷ |old|) × 100

Subtract to get the raw change, divide by the baseline magnitude to make it relative. Positive means an increase, negative a decrease. Using |old| keeps the sign of the change pinned to direction, not to the sign of the baseline.

§Worked cases
Price drop
$50 → $40
−20%
Salary raise
$3,000 → $3,300
+10%
Doubled
80 → 160
+100%
Stock move
$80 → $92
+15%
Multiplier
250 × 1.04 = 260
+4%
Cut back
200 → 150
−25%
§In Excel

If the old value sits in A2 and the new value in B2, drop this formula into any cell and format it as a percentage.

=(B2−A2)/ABS(A2)
§% change vs. percentage points
% change

Relative to baseline

5% → 8% is a 60% increase, because 3 ÷ 5 × 100 = 60.

Percentage points

Direct subtraction

5% → 8% is a 3 pp increase. Useful for rates and probabilities where the baseline is already a percentage.

§Frequently asked
How do you calculate percentage change?→

Subtract the old value from the new value, divide by the absolute value of the old value, then multiply by 100. The formula is ((new value - old value) / |old value|) x 100.

How do you calculate stock percentage change?→

Use the same percentage change formula: ((new stock price - old stock price) / old stock price) x 100. For example, a stock moving from 80 to 92 has a 15% increase because (92 - 80) / 80 x 100 = 15%.

How do you calculate a 4% increase?→

Multiply the original value by 1.04. For example, a 4% increase on 250 is 250 x 1.04 = 260. The increase amount is 10.

What is the difference between percentage increase and percentage decrease?→

A positive percentage change is an increase because the new value is larger than the old value. A negative percentage change is a decrease because the new value is smaller than the old value.

Can percentage change be more than 100%?→

Yes. An increase can be more than 100% when the new value is more than double the old value. A decrease cannot be less than -100% if the final value stays at or above zero.

Why can't the old value be zero?→

Percentage change divides by the old value. Division by zero is undefined, so a change from 0 to another value does not have a normal finite percentage change.

Is percentage change the same as percentage points?→

No. Percentage change is relative to the old value. Percentage points are the direct difference between two percentages. Moving from 5% to 8% is a 3 percentage point increase, but a 60% percentage increase.

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