Sumwise

Percentage Change from 15 to 6

From 15 to 6 is a 60% decrease

Change
-60%
Difference
-9
New ÷ old
0.4
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: 6 − 15 = -9
  2. Divide by the starting value: -9 ÷ 15 = -0.6
  3. Multiply by 100: -60%
  4. Check: Work forwards from the start: 15 × (1 − 0.6) = 15 × 0.4 = 6.

In a spreadsheet: =(6-15)/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 40% of the old one: for every 100 at the start there are now 40, so 60 out of every 100 have gone.

Sales: a price cut from $15 to $6 is a 60% discount.

Why the change back is different

A 60% fall followed by a 60% rise does not bring you back to 15: it gives 9.6. The second percentage is taken of 6, not of 15, so to undo this change you need 150% instead.

Related results

Results for nearby numbers
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The other way round: Percentage change from 6 to 15. Percentage change is not symmetric: from 15 to 6 is -60%, but from 6 back to 15 is 150%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 6 and 15: 85.7143%. See Percentage difference between 6 and 15.

Practice

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From 3 to 33 is a 1,000% increase

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From 65 to 58 is a 10.7692% decrease

36 to 42
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From 36 to 42 is a 16.6667% increase

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From 38 to 52 is a 36.8421% increase

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From 90 to 75 is a 16.6667% decrease

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From 47 to 8 is a 82.9787% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 15 to 6

Going from 15 to 6 is a 60% decrease. Formula and steps.

Is going from 15 to 6 an increase or a decrease?

A decrease: the value fell by 9, which is 60% of the starting value.

What is the percentage change from 6 back to 15?

150%. It is a different number because the starting value is now 6, not 15.