Sumwise

Percentage Change from 6 to 5

From 6 to 5 is a 16.6667% decrease

Change
-16.6667%
Difference
-1
New ÷ old
0.833333
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: 5 − 6 = -1
  2. Divide by the starting value: -1 ÷ 6 = -0.166667
  3. Multiply by 100: -16.6667%
  4. Check: Work forwards from the start: 6 × (1 − 0.166667) = 6 × 0.833333 = 5.

In a spreadsheet: =(5-6)/6*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 83.3333% of the old one: for every 100 at the start there are now 83.3333, so 16.6667 out of every 100 have gone.

Sales: a price cut from $6 to $5 is a 16.6667% discount.

Why the change back is different

A 16.6667% fall followed by a 16.6667% rise does not bring you back to 6: it gives 5.8333. The second percentage is taken of 5, not of 6, so to undo this change you need 20% instead.

Related results

Results for nearby numbers
6 to 3

From 6 to 3 is a 50% decrease

6 to 4

From 6 to 4 is a 33.3333% decrease

6 to 7

From 6 to 7 is a 16.6667% increase

6 to 15

From 6 to 15 is a 150% increase

The other way round: Percentage change from 5 to 6. Percentage change is not symmetric: from 6 to 5 is -16.6667%, but from 5 back to 6 is 20%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 5 and 6: 18.1818%. See Percentage difference between 5 and 6.

Practice

2 to 97
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From 2 to 97 is a 4,750% increase

44 to 40
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From 44 to 40 is a 9.0909% decrease

37 to 61
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From 37 to 61 is a 64.8649% increase

54 to 97
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From 54 to 97 is a 79.6296% increase

52 to 33
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From 52 to 33 is a 36.5385% decrease

26 to 49
Show answer

From 26 to 49 is a 88.4615% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 6 to 5

Going from 6 to 5 is a 16.6667% decrease. Formula and steps.

Is going from 6 to 5 an increase or a decrease?

A decrease: the value fell by 1, which is 16.6667% of the starting value.

What is the percentage change from 5 back to 6?

20%. It is a different number because the starting value is now 5, not 6.