Sumwise

Percentage Change from 20 to 19

From 20 to 19 is a 5% decrease

Change
-5%
Difference
-1
New ÷ old
0.95
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: 19 − 20 = -1
  2. Divide by the starting value: -1 ÷ 20 = -0.05
  3. Multiply by 100: -5%
  4. Check: Work forwards from the start: 20 × (1 − 0.05) = 20 × 0.95 = 19.

In a spreadsheet: =(19-20)/20*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 95% of the old one: for every 100 at the start there are now 95, so 5 out of every 100 have gone.

Sales: a price cut from $20 to $19 is a 5% discount.

Why the change back is different

A 5% fall followed by a 5% rise does not bring you back to 20: it gives 19.95. The second percentage is taken of 19, not of 20, so to undo this change you need 5.2632% instead.

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The other way round: Percentage change from 19 to 20. Percentage change is not symmetric: from 20 to 19 is -5%, but from 19 back to 20 is 5.2632%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 19 and 20: 5.1282%. See Percentage difference between 19 and 20.

Practice

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From 4 to 93 is a 2,225% increase

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From 52 to 82 is a 57.6923% increase

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From 74 to 25 is a 66.2162% decrease

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From 34 to 37 is a 8.8235% increase

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From 46 to 18 is a 60.8696% decrease

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From 1 to 76 is a 7,500% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 20 to 19

Going from 20 to 19 is a 5% decrease. Formula and steps.

Is going from 20 to 19 an increase or a decrease?

A decrease: the value fell by 1, which is 5% of the starting value.

What is the percentage change from 19 back to 20?

5.2632%. It is a different number because the starting value is now 19, not 20.