Sumwise

Percentage Change from 21 to 14

From 21 to 14 is a 33.3333% decrease

Change
-33.3333%
Difference
-7
New ÷ old
0.666667
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: 14 − 21 = -7
  2. Divide by the starting value: -7 ÷ 21 = -0.333333
  3. Multiply by 100: -33.3333%
  4. Check: Work forwards from the start: 21 × (1 − 0.333333) = 21 × 0.666667 = 14.

In a spreadsheet: =(14-21)/21*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 66.6667% of the old one: for every 100 at the start there are now 66.6667, so 33.3333 out of every 100 have gone.

Sales: a price cut from $21 to $14 is a 33.3333% discount.

Why the change back is different

A 33.3333% fall followed by a 33.3333% rise does not bring you back to 21: it gives 18.6667. The second percentage is taken of 14, not of 21, so to undo this change you need 50% instead.

Related results

Results for nearby numbers
21 to 12

From 21 to 12 is a 42.8571% decrease

21 to 13

From 21 to 13 is a 38.0952% decrease

21 to 15

From 21 to 15 is a 28.5714% decrease

21 to 16

From 21 to 16 is a 23.8095% decrease

21 to 24

From 21 to 24 is a 14.2857% increase

The other way round: Percentage change from 14 to 21. Percentage change is not symmetric: from 21 to 14 is -33.3333%, but from 14 back to 21 is 50%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 14 and 21: 40%. See Percentage difference between 14 and 21.

Practice

4 to 45
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From 4 to 45 is a 1,025% increase

19 to 3
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From 19 to 3 is a 84.2105% decrease

41 to 76
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From 41 to 76 is a 85.3659% increase

46 to 35
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From 46 to 35 is a 23.913% decrease

90 to 8
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From 90 to 8 is a 91.1111% decrease

19 to 28
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From 19 to 28 is a 47.3684% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 21 to 14

Going from 21 to 14 is a 33.3333% decrease. Formula and steps.

Is going from 21 to 14 an increase or a decrease?

A decrease: the value fell by 7, which is 33.3333% of the starting value.

What is the percentage change from 14 back to 21?

50%. It is a different number because the starting value is now 14, not 21.