Sumwise

Percentage Change from 13 to 31

From 13 to 31 is a 138.4615% increase

Change
138.4615%
Difference
18
New ÷ old
2.384615
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 − 13 = 18
  2. Divide by the starting value: 18 ÷ 13 = 1.384615
  3. Multiply by 100: 138.4615%
  4. Check: Work forwards from the start: 13 × (1 + 1.384615) = 13 × 2.384615 = 31.

In a spreadsheet: =(31-13)/13*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 2.3846 times the old one: for every 100 at the start there are now 238.4615. The value has more than doubled.

Prices: an item whose price rises from $13 to $31 has gone up by 138.4615%.

Why the change back is different

A 138.4615% rise followed by a 138.4615% fall does not bring you back to 13: it gives -11.9231. The second percentage is taken of 31, not of 13, so to undo this change you need 58.0645% instead.

Related results

Results for nearby numbers
13 to 29

From 13 to 29 is a 123.0769% increase

13 to 30

From 13 to 30 is a 130.7692% increase

13 to 32

From 13 to 32 is a 146.1538% increase

13 to 33

From 13 to 33 is a 153.8462% increase

13 to 41

From 13 to 41 is a 215.3846% increase

The other way round: Percentage change from 31 to 13. Percentage change is not symmetric: from 13 to 31 is 138.4615%, but from 31 back to 13 is -58.0645%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 13 and 31: 81.8182%. See Percentage difference between 13 and 31.

Practice

3 to 77
Show answer

From 3 to 77 is a 2,466.6667% increase

80 to 32
Show answer

From 80 to 32 is a 60% decrease

70 to 40
Show answer

From 70 to 40 is a 42.8571% decrease

77 to 14
Show answer

From 77 to 14 is a 81.8182% decrease

31 to 79
Show answer

From 31 to 79 is a 154.8387% increase

76 to 47
Show answer

From 76 to 47 is a 38.1579% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 13 to 31

Going from 13 to 31 is a 138.4615% increase. Formula and steps.

Is going from 13 to 31 an increase or a decrease?

An increase: the value grew by 18, which is 138.4615% of the starting value.

What is the percentage change from 31 back to 13?

-58.0645%. It is a different number because the starting value is now 31, not 13.