Sumwise

Percentage Change from 10 to 20

From 10 to 20 is a 100% increase

Change
100%
Difference
10
New ÷ old
2
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: 20 − 10 = 10
  2. Divide by the starting value: 10 ÷ 10 = 1
  3. Multiply by 100: 100%
  4. Check: Work forwards from the start: 10 × (1 + 1) = 10 × 2 = 20.

In a spreadsheet: =(20-10)/10*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 2 times the old one: for every 100 at the start there are now 200. The value has more than doubled.

Prices: an item whose price rises from $10 to $20 has gone up by 100%.

Why the change back is different

A 100% rise followed by a 100% fall does not bring you back to 10: it gives 0. The second percentage is taken of 20, not of 10, so to undo this change you need 50% instead.

Related results

Results for nearby numbers
10 to 18

From 10 to 18 is a 80% increase

10 to 19

From 10 to 19 is a 90% increase

10 to 21

From 10 to 21 is a 110% increase

10 to 22

From 10 to 22 is a 120% increase

10 to 30

From 10 to 30 is a 200% increase

The other way round: Percentage change from 20 to 10. Percentage change is not symmetric: from 10 to 20 is 100%, but from 20 back to 10 is -50%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 10 and 20: 66.6667%. See Percentage difference between 10 and 20.

Practice

2 to 15
Show answer

From 2 to 15 is a 650% increase

43 to 63
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From 43 to 63 is a 46.5116% increase

93 to 98
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From 93 to 98 is a 5.3763% increase

80 to 25
Show answer

From 80 to 25 is a 68.75% decrease

11 to 63
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From 11 to 63 is a 472.7273% increase

60 to 70
Show answer

From 60 to 70 is a 16.6667% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 10 to 20

Going from 10 to 20 is a 100% increase. Formula and steps.

Is going from 10 to 20 an increase or a decrease?

An increase: the value grew by 10, which is 100% of the starting value.

What is the percentage change from 20 back to 10?

-50%. It is a different number because the starting value is now 20, not 10.