Sumwise

Percentage Change from 36 to 12

From 36 to 12 is a 66.6667% decrease

Change
-66.6667%
Difference
-24
New ÷ old
0.333333
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: 12 − 36 = -24
  2. Divide by the starting value: -24 ÷ 36 = -0.666667
  3. Multiply by 100: -66.6667%
  4. Check: Work forwards from the start: 36 × (1 − 0.666667) = 36 × 0.333333 = 12.

In a spreadsheet: =(12-36)/36*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 33.3333% of the old one: for every 100 at the start there are now 33.3333, so 66.6667 out of every 100 have gone.

Sales: a price cut from $36 to $12 is a 66.6667% discount.

Why the change back is different

A 66.6667% fall followed by a 66.6667% rise does not bring you back to 36: it gives 20. The second percentage is taken of 12, not of 36, so to undo this change you need 200% instead.

Related results

Results for nearby numbers
36 to 10

From 36 to 10 is a 72.2222% decrease

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From 36 to 11 is a 69.4444% decrease

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From 36 to 13 is a 63.8889% decrease

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From 36 to 14 is a 61.1111% decrease

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From 36 to 22 is a 38.8889% decrease

The other way round: Percentage change from 12 to 36. Percentage change is not symmetric: from 36 to 12 is -66.6667%, but from 12 back to 36 is 200%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 12 and 36: 100%. See Percentage difference between 12 and 36.

Practice

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From 7 to 52 is a 642.8571% increase

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From 32 to 47 is a 46.875% increase

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From 78 to 33 is a 57.6923% decrease

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From 34 to 17 is a 50% decrease

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From 13 to 86 is a 561.5385% increase

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From 64 to 81 is a 26.5625% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 36 to 12

Going from 36 to 12 is a 66.6667% decrease. Formula and steps.

Is going from 36 to 12 an increase or a decrease?

A decrease: the value fell by 24, which is 66.6667% of the starting value.

What is the percentage change from 12 back to 36?

200%. It is a different number because the starting value is now 12, not 36.