Going from 10 to 12 is a 20% increase.
Worked out below step by step, with a table of related values and a live calculator so you can change the numbers.
Check it: 10 + 2 = 12, the new value.
percent change = (new − old) ÷ old × 100
Percent change always compares the difference against the original value, not the new one.
Percentage change uses the starting value as the reference. The numerical change is 2; divide that change by the original 10, then multiply by 100.
The result is 20%. A positive answer is an increase and a negative answer is a decrease. Because the original value is the denominator, changing the direction of comparison gives a different percentage.
The ratio of the new value to the starting value is 1.2. Comparing that multiplier with 1 shows how far the new value sits above the starting value in percentage terms.
What is the percent change from 10 to 14?
Find the difference: 14 − 10 = 4. Divide by the original value: 4 ÷ 10. Multiply by 100: that is a 40% increase. This uses the same method with different numbers, so it shows how the rule transfers instead of only repeating the original answer.
The numerical difference is 2, a increase. Relative to the starting value 10, that difference represents 20%. The starting value matters because percentage change measures the difference against the original baseline, not the final value.
Percentage change is used for price movement, growth, energy use, production, traffic and performance comparisons. It is most meaningful when the starting value is clearly defined and the direction of change is reported with the percentage.
The ratio of the new value to the starting value is 1.2. Comparing that multiplier with 1 shows how far the new value sits above the starting value in percentage terms. New ÷ original = 12 ÷ 10 = 1.2. Subtract 1: 1.2 − 1 = 0.2. Multiply by 100 to get 20% increase.
Using the final value 12 as the denominator instead of the starting value 10. After correcting that setup, verify the result independently: Check it: 10 + 2 = 12, the new value.
Yes. What is the percent change from 10 to 14? Find the difference: 14 − 10 = 4. Divide by the original value: 4 ÷ 10. Multiply by 100: that is a 40% increase. This uses the same method with different numbers, so it shows how the rule transfers instead of only repeating the original answer. The live calculator above lets you replace both inputs and recalculate without changing the underlying method.
The numerical difference is 2, a increase. Relative to the starting value 10, that difference represents 20%. The starting value matters because percentage change measures the difference against the original baseline, not the final value. Use that scale or ratio check together with the reverse calculation before reusing the result in another calculation.
| New value | Percent change |
|---|---|
| 5 | −50% |
| 7.5 | −25% |
| 9 | −10% |
| 11 | +10% |
| 12 | +20% |
| 12.5 | +25% |
| 15 | +50% |
| 20 | +100% |