Sumwise

Percentage Change from 4 to 21

From 4 to 21 is a 425% increase

Change
425%
Difference
17
New ÷ old
5.25
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: 21 − 4 = 17
  2. Divide by the starting value: 17 ÷ 4 = 4.25
  3. Multiply by 100: 425%
  4. Check: Work forwards from the start: 4 × (1 + 4.25) = 4 × 5.25 = 21.

In a spreadsheet: =(21-4)/4*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 5.25 times the old one: for every 100 at the start there are now 525. The value has more than doubled.

Prices: an item whose price rises from $4 to $21 has gone up by 425%.

Why the change back is different

A 425% rise followed by a 425% fall does not bring you back to 4: it gives -68.25. The second percentage is taken of 21, not of 4, so to undo this change you need 80.9524% instead.

Related results

Results for nearby numbers
4 to 19

From 4 to 19 is a 375% increase

4 to 20

From 4 to 20 is a 400% increase

4 to 22

From 4 to 22 is a 450% increase

4 to 23

From 4 to 23 is a 475% increase

4 to 31

From 4 to 31 is a 675% increase

The other way round: Percentage change from 21 to 4. Percentage change is not symmetric: from 4 to 21 is 425%, but from 21 back to 4 is -80.9524%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 4 and 21: 136%. See Percentage difference between 4 and 21.

Practice

1 to 26
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From 1 to 26 is a 2,500% increase

25 to 49
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From 25 to 49 is a 96% increase

47 to 66
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From 47 to 66 is a 40.4255% increase

58 to 6
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From 58 to 6 is a 89.6552% decrease

36 to 53
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From 36 to 53 is a 47.2222% increase

75 to 20
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From 75 to 20 is a 73.3333% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 4 to 21

Going from 4 to 21 is a 425% increase. Formula and steps.

Is going from 4 to 21 an increase or a decrease?

An increase: the value grew by 17, which is 425% of the starting value.

What is the percentage change from 21 back to 4?

-80.9524%. It is a different number because the starting value is now 21, not 4.