Sumwise

Percentage Change from 27 to 20

From 27 to 20 is a 25.9259% decrease

Change
-25.9259%
Difference
-7
New ÷ old
0.740741
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: 20 − 27 = -7
  2. Divide by the starting value: -7 ÷ 27 = -0.259259
  3. Multiply by 100: -25.9259%
  4. Check: Work forwards from the start: 27 × (1 − 0.259259) = 27 × 0.740741 = 20.

In a spreadsheet: =(20-27)/27*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 74.0741% of the old one: for every 100 at the start there are now 74.0741, so 25.9259 out of every 100 have gone.

Sales: a price cut from $27 to $20 is a 25.9259% discount.

Why the change back is different

A 25.9259% fall followed by a 25.9259% rise does not bring you back to 27: it gives 25.1852. The second percentage is taken of 20, not of 27, so to undo this change you need 35% instead.

Related results

Results for nearby numbers
27 to 18

From 27 to 18 is a 33.3333% decrease

27 to 19

From 27 to 19 is a 29.6296% decrease

27 to 21

From 27 to 21 is a 22.2222% decrease

27 to 22

From 27 to 22 is a 18.5185% decrease

27 to 30

From 27 to 30 is a 11.1111% increase

The other way round: Percentage change from 20 to 27. Percentage change is not symmetric: from 27 to 20 is -25.9259%, but from 20 back to 27 is 35%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 20 and 27: 29.7872%. See Percentage difference between 20 and 27.

Practice

6 to 50
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From 6 to 50 is a 733.3333% increase

73 to 21
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From 73 to 21 is a 71.2329% decrease

25 to 74
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From 25 to 74 is a 196% increase

88 to 22
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From 88 to 22 is a 75% decrease

45 to 15
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From 45 to 15 is a 66.6667% decrease

68 to 38
Show answer

From 68 to 38 is a 44.1176% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 27 to 20

Going from 27 to 20 is a 25.9259% decrease. Formula and steps.

Is going from 27 to 20 an increase or a decrease?

A decrease: the value fell by 7, which is 25.9259% of the starting value.

What is the percentage change from 20 back to 27?

35%. It is a different number because the starting value is now 20, not 27.