Sumwise

Percentage Change from 20 to 13

From 20 to 13 is a 35% decrease

Change
-35%
Difference
-7
New ÷ old
0.65
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: 13 − 20 = -7
  2. Divide by the starting value: -7 ÷ 20 = -0.35
  3. Multiply by 100: -35%
  4. Check: Work forwards from the start: 20 × (1 − 0.35) = 20 × 0.65 = 13.

In a spreadsheet: =(13-20)/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 65% of the old one: for every 100 at the start there are now 65, so 35 out of every 100 have gone.

Sales: a price cut from $20 to $13 is a 35% discount.

Why the change back is different

A 35% fall followed by a 35% rise does not bring you back to 20: it gives 17.55. The second percentage is taken of 13, not of 20, so to undo this change you need 53.8462% instead.

Related results

Results for nearby numbers
20 to 11

From 20 to 11 is a 45% decrease

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From 20 to 12 is a 40% decrease

20 to 14

From 20 to 14 is a 30% decrease

20 to 15

From 20 to 15 is a 25% decrease

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From 20 to 23 is a 15% increase

The other way round: Percentage change from 13 to 20. Percentage change is not symmetric: from 20 to 13 is -35%, but from 13 back to 20 is 53.8462%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 13 and 20: 42.4242%. See Percentage difference between 13 and 20.

Practice

4 to 96
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From 4 to 96 is a 2,300% increase

98 to 47
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From 98 to 47 is a 52.0408% decrease

60 to 43
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From 60 to 43 is a 28.3333% decrease

50 to 43
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From 50 to 43 is a 14% decrease

37 to 58
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From 37 to 58 is a 56.7568% increase

48 to 74
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From 48 to 74 is a 54.1667% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 20 to 13

Going from 20 to 13 is a 35% decrease. Formula and steps.

Is going from 20 to 13 an increase or a decrease?

A decrease: the value fell by 7, which is 35% of the starting value.

What is the percentage change from 13 back to 20?

53.8462%. It is a different number because the starting value is now 13, not 20.