Sumwise

Percentage Change from 11 to 12

From 11 to 12 is a 9.0909% increase

Change
9.0909%
Difference
1
New ÷ old
1.090909
Direction
increase

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: 12 − 11 = 1
  2. Divide by the starting value: 1 ÷ 11 = 0.090909
  3. Multiply by 100: 9.0909%
  4. Check: Work forwards from the start: 11 × (1 + 0.090909) = 11 × 1.090909 = 12.

In a spreadsheet: =(12-11)/11*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 1.0909 times the old one: for every 100 at the start there are now 109.0909.

Prices: an item whose price rises from $11 to $12 has gone up by 9.0909%.

Why the change back is different

A 9.0909% rise followed by a 9.0909% fall does not bring you back to 11: it gives 10.9091. The second percentage is taken of 12, not of 11, so to undo this change you need 8.3333% instead.

Related results

Results for nearby numbers
11 to 10

From 11 to 10 is a 9.0909% decrease

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From 11 to 13 is a 18.1818% increase

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From 11 to 14 is a 27.2727% increase

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From 11 to 22 is a 100% increase

The other way round: Percentage change from 12 to 11. Percentage change is not symmetric: from 11 to 12 is 9.0909%, but from 12 back to 11 is -8.3333%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 11 and 12: 8.6957%. See Percentage difference between 11 and 12.

Practice

3 to 56
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From 3 to 56 is a 1,766.6667% increase

93 to 42
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From 93 to 42 is a 54.8387% decrease

50 to 52
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From 50 to 52 is a 4% increase

22 to 72
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From 22 to 72 is a 227.2727% increase

83 to 21
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From 83 to 21 is a 74.6988% decrease

71 to 14
Show answer

From 71 to 14 is a 80.2817% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 11 to 12

Going from 11 to 12 is a 9.0909% increase. Formula and steps.

Is going from 11 to 12 an increase or a decrease?

An increase: the value grew by 1, which is 9.0909% of the starting value.

What is the percentage change from 12 back to 11?

-8.3333%. It is a different number because the starting value is now 12, not 11.