Sumwise

Percentage Change from 26 to 31

From 26 to 31 is a 19.2308% increase

Change
19.2308%
Difference
5
New ÷ old
1.192308
Direction
increase

Sumwise · Maintained by Theo Abbott (pen name) · automated checks · Data: exact arithmetic; unit definitions from NIST SP 811 · Updated · How the checks work

How to work it out

  1. Difference: 31 − 26 = 5
  2. Divide by the starting value: 5 ÷ 26 = 0.192308
  3. Multiply by 100: 19.2308%
  4. Check: Work forwards from the start: 26 × (1 + 0.192308) = 26 × 1.192308 = 31.

In a spreadsheet: =(31-26)/26*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 1.1923 times the old one: for every 100 at the start there are now 119.2308.

Prices: an item whose price rises from $26 to $31 has gone up by 19.2308%.

Why the change back is different

A 19.2308% rise followed by a 19.2308% fall does not bring you back to 26: it gives 25.0385. The second percentage is taken of 31, not of 26, so to undo this change you need 16.129% instead.

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From 26 to 41 is a 57.6923% increase

The other way round: Percentage change from 31 to 26. Percentage change is not symmetric: from 26 to 31 is 19.2308%, but from 31 back to 26 is -16.129%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 26 and 31: 17.5439%. See Percentage difference between 26 and 31.

Practice

6 to 7
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From 6 to 7 is a 16.6667% increase

53 to 42
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From 53 to 42 is a 20.7547% decrease

33 to 93
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From 33 to 93 is a 181.8182% increase

13 to 28
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From 13 to 28 is a 115.3846% increase

99 to 26
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From 99 to 26 is a 73.7374% decrease

57 to 90
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From 57 to 90 is a 57.8947% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 26 to 31

Going from 26 to 31 is a 19.2308% increase. Formula and steps.

Is going from 26 to 31 an increase or a decrease?

An increase: the value grew by 5, which is 19.2308% of the starting value.

What is the percentage change from 31 back to 26?

-16.129%. It is a different number because the starting value is now 31, not 26.