What is the Percentage Difference from 15 to 21?
From 15 to 21 is a 40% increase
- Change
- 40%
- Difference
- 6
- New ÷ old
- 1.4
- Direction
- increase
Sumwise · Data: exact arithmetic; unit definitions from NIST SP 811 · Updated · How we check it
How to work it out
- Difference: 21 − 15 = 6
- Divide by the starting value: 6 ÷ 15 = 0.4
- Multiply by 100: 40%
- Check: Work forwards from the start: 15 × (1 + 0.4) = 15 × 1.4 = 21.
In a spreadsheet: =(21-15)/15*100. Always divide by the starting value, not the new one. A rise from 40 to 50 is +25%, but the fall from 50 back to 40 is −20%.
What the result means
The new value is 1.4 times the old one: for every 100 at the start there are now 140.
Prices: an item whose price rises from $15 to $21 has gone up by 40%.
Why the change back is different
A 40% rise followed by a 40% fall does not bring you back to 15: it gives 12.6. The second percentage is taken of 21, not of 15, so to undo this change you need 28.5714% instead.
Related results
| 15 to 19 | From 15 to 19 is a 26.6667% increase |
| 15 to 20 | From 15 to 20 is a 33.3333% increase |
| 15 to 22 | From 15 to 22 is a 46.6667% increase |
| 15 to 23 | From 15 to 23 is a 53.3333% increase |
| 15 to 31 | From 15 to 31 is a 106.6667% increase |
The other way round: Percentage difference from 21 to 15
Practice
| 3 to 59 | Show answerFrom 3 to 59 is a 1,866.6667% increase |
| 39 to 65 | Show answerFrom 39 to 65 is a 66.6667% increase |
| 48 to 9 | Show answerFrom 48 to 9 is a 81.25% decrease |
| 45 to 30 | Show answerFrom 45 to 30 is a 33.3333% decrease |
| 56 to 54 | Show answerFrom 56 to 54 is a 3.5714% decrease |
| 12 to 29 | Show answerFrom 12 to 29 is a 141.6667% increase |
How answers are calculated and checked: methodology.
Questions
What is the Percentage Difference from 15 to 21?
Going from 15 to 21 is a 40% increase. Formula and steps.
Is going from 15 to 21 an increase or a decrease?
An increase: the value grew by 6, which is 40% of the starting value.
What is the percentage change from 21 back to 15?
-28.5714%. It is a different number because the starting value is now 21, not 15.