Sumwise

What is the Percentage Difference from 29 to 20?

From 29 to 20 is a 31.0345% decrease

Change
-31.0345%
Difference
-9
New ÷ old
0.689655
Direction
decrease

Sumwise · Data: exact arithmetic; unit definitions from NIST SP 811 · Updated · How we check it

How to work it out

  1. Difference: 20 − 29 = -9
  2. Divide by the starting value: -9 ÷ 29 = -0.310345
  3. Multiply by 100: -31.0345%
  4. Check: Work forwards from the start: 29 × (1 − 0.310345) = 29 × 0.689655 = 20.

In a spreadsheet: =(20-29)/29*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 68.9655% of the old one: for every 100 at the start there are now 68.9655, so 31.0345 out of every 100 have gone.

Sales: a price cut from $29 to $20 is a 31.0345% discount.

Why the change back is different

A 31.0345% fall followed by a 31.0345% rise does not bring you back to 29: it gives 26.2069. The second percentage is taken of 20, not of 29, so to undo this change you need 45% instead.

Related results

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From 29 to 21 is a 27.5862% decrease

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From 29 to 22 is a 24.1379% decrease

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From 29 to 30 is a 3.4483% increase

The other way round: Percentage difference from 20 to 29

Practice

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From 6 to 26 is a 333.3333% increase

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From 91 to 16 is a 82.4176% decrease

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From 48 to 91 is a 89.5833% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

What is the Percentage Difference from 29 to 20?

Going from 29 to 20 is a 31.0345% decrease. Formula and steps.

Is going from 29 to 20 an increase or a decrease?

A decrease: the value fell by 9, which is 31.0345% of the starting value.

What is the percentage change from 20 back to 29?

45%. It is a different number because the starting value is now 20, not 29.