Sumwise

Percentage Change from 12 to 11

From 12 to 11 is a 8.3333% decrease

Change
-8.3333%
Difference
-1
New ÷ old
0.916667
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: 11 − 12 = -1
  2. Divide by the starting value: -1 ÷ 12 = -0.083333
  3. Multiply by 100: -8.3333%
  4. Check: Work forwards from the start: 12 × (1 − 0.083333) = 12 × 0.916667 = 11.

In a spreadsheet: =(11-12)/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 91.6667% of the old one: for every 100 at the start there are now 91.6667, so 8.3333 out of every 100 have gone.

Sales: a price cut from $12 to $11 is a 8.3333% discount.

Why the change back is different

A 8.3333% fall followed by a 8.3333% rise does not bring you back to 12: it gives 11.9167. The second percentage is taken of 11, not of 12, so to undo this change you need 9.0909% instead.

Related results

Results for nearby numbers
12 to 9

From 12 to 9 is a 25% decrease

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From 12 to 10 is a 16.6667% decrease

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From 12 to 13 is a 8.3333% increase

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From 12 to 21 is a 75% increase

The other way round: Percentage change from 11 to 12. Percentage change is not symmetric: from 12 to 11 is -8.3333%, but from 11 back to 12 is 9.0909%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 11 and 12: 8.6957%. See Percentage difference between 11 and 12.

Practice

3 to 96
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From 3 to 96 is a 3,100% increase

97 to 34
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From 97 to 34 is a 64.9485% decrease

4 to 88
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From 4 to 88 is a 2,100% increase

11 to 59
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From 11 to 59 is a 436.3636% increase

8 to 49
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From 8 to 49 is a 512.5% increase

75 to 41
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From 75 to 41 is a 45.3333% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 12 to 11

Going from 12 to 11 is a 8.3333% decrease. Formula and steps.

Is going from 12 to 11 an increase or a decrease?

A decrease: the value fell by 1, which is 8.3333% of the starting value.

What is the percentage change from 11 back to 12?

9.0909%. It is a different number because the starting value is now 11, not 12.