Sumwise

Percentage Change from 12 to 5

From 12 to 5 is a 58.3333% decrease

Change
-58.3333%
Difference
-7
New ÷ old
0.416667
Direction
decrease

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: 5 − 12 = -7
  2. Divide by the starting value: -7 ÷ 12 = -0.583333
  3. Multiply by 100: -58.3333%
  4. Check: Work forwards from the start: 12 × (1 − 0.583333) = 12 × 0.416667 = 5.

In a spreadsheet: =(5-12)/12*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 41.6667% of the old one: for every 100 at the start there are now 41.6667, so 58.3333 out of every 100 have gone.

Sales: a price cut from $12 to $5 is a 58.3333% discount.

Why the change back is different

A 58.3333% fall followed by a 58.3333% rise does not bring you back to 12: it gives 7.9167. The second percentage is taken of 5, not of 12, so to undo this change you need 140% instead.

Related results

Results for nearby numbers
12 to 3

From 12 to 3 is a 75% decrease

12 to 4

From 12 to 4 is a 66.6667% decrease

12 to 6

From 12 to 6 is a 50% decrease

12 to 7

From 12 to 7 is a 41.6667% decrease

12 to 15

From 12 to 15 is a 25% increase

The other way round: Percentage change from 5 to 12. Percentage change is not symmetric: from 12 to 5 is -58.3333%, but from 5 back to 12 is 140%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 5 and 12: 82.3529%. See Percentage difference between 5 and 12.

Practice

3 to 93
Show answer

From 3 to 93 is a 3,000% increase

50 to 96
Show answer

From 50 to 96 is a 92% increase

18 to 69
Show answer

From 18 to 69 is a 283.3333% increase

22 to 64
Show answer

From 22 to 64 is a 190.9091% increase

23 to 77
Show answer

From 23 to 77 is a 234.7826% increase

73 to 12
Show answer

From 73 to 12 is a 83.5616% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 12 to 5

Going from 12 to 5 is a 58.3333% decrease. Formula and steps.

Is going from 12 to 5 an increase or a decrease?

A decrease: the value fell by 7, which is 58.3333% of the starting value.

What is the percentage change from 5 back to 12?

140%. It is a different number because the starting value is now 5, not 12.