Sumwise

What is the Percentage Difference from 15 to 3?

From 15 to 3 is a 80% decrease

Change
-80%
Difference
-12
New ÷ old
0.2
Direction
decrease

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

How to work it out

  1. Difference: 3 − 15 = -12
  2. Divide by the starting value: -12 ÷ 15 = -0.8
  3. Multiply by 100: -80%
  4. Check: Work forwards from the start: 15 × (1 − 0.8) = 15 × 0.2 = 3.

In a spreadsheet: =(3-15)/15*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 20% of the old one: for every 100 at the start there are now 20, so 80 out of every 100 have gone.

Sales: a price cut from $15 to $3 is a 80% discount.

Why the change back is different

A 80% fall followed by a 80% rise does not bring you back to 15: it gives 5.4. The second percentage is taken of 3, not of 15, so to undo this change you need 400% instead.

Related results

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From 15 to 13 is a 13.3333% decrease

The other way round: Percentage difference from 3 to 15

Practice

3 to 38
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From 3 to 38 is a 1,166.6667% increase

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From 7 to 88 is a 1,157.1429% increase

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From 22 to 47 is a 113.6364% increase

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From 67 to 81 is a 20.8955% increase

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From 84 to 26 is a 69.0476% decrease

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From 63 to 71 is a 12.6984% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

What is the Percentage Difference from 15 to 3?

Going from 15 to 3 is a 80% decrease. Formula and steps.

Is going from 15 to 3 an increase or a decrease?

A decrease: the value fell by 12, which is 80% of the starting value.

What is the percentage change from 3 back to 15?

400%. It is a different number because the starting value is now 3, not 15.