Sumwise

Percentage Change from 78 to 87

From 78 to 87 is a 11.5385% increase

Change
11.5385%
Difference
9
New ÷ old
1.115385
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: 87 − 78 = 9
  2. Divide by the starting value: 9 ÷ 78 = 0.115385
  3. Multiply by 100: 11.5385%
  4. Check: Work forwards from the start: 78 × (1 + 0.115385) = 78 × 1.115385 = 87.

In a spreadsheet: =(87-78)/78*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 1.1154 times the old one: for every 100 at the start there are now 111.5385.

Prices: an item whose price rises from $78 to $87 has gone up by 11.5385%.

Why the change back is different

A 11.5385% rise followed by a 11.5385% fall does not bring you back to 78: it gives 76.9615. The second percentage is taken of 87, not of 78, so to undo this change you need 10.3448% instead.

Related results

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The other way round: Percentage change from 87 to 78. Percentage change is not symmetric: from 78 to 87 is 11.5385%, but from 87 back to 78 is -10.3448%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 78 and 87: 10.9091%. See Percentage difference between 78 and 87.

Practice

15 to 42
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From 15 to 42 is a 180% increase

7 to 30
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From 7 to 30 is a 328.5714% increase

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From 57 to 58 is a 1.7544% increase

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From 14 to 84 is a 500% increase

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From 36 to 99 is a 175% increase

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From 17 to 80 is a 370.5882% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 78 to 87

Going from 78 to 87 is a 11.5385% increase. Formula and steps.

Is going from 78 to 87 an increase or a decrease?

An increase: the value grew by 9, which is 11.5385% of the starting value.

What is the percentage change from 87 back to 78?

-10.3448%. It is a different number because the starting value is now 87, not 78.