Sumwise

Percentage Change from 8 to 42

From 8 to 42 is a 425% increase

Change
425%
Difference
34
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: 42 − 8 = 34
  2. Divide by the starting value: 34 ÷ 8 = 4.25
  3. Multiply by 100: 425%
  4. Check: Work forwards from the start: 8 × (1 + 4.25) = 8 × 5.25 = 42.

In a spreadsheet: =(42-8)/8*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 $8 to $42 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 8: it gives -136.5. The second percentage is taken of 42, not of 8, so to undo this change you need 80.9524% instead.

Related results

Results for nearby numbers
8 to 40

From 8 to 40 is a 400% increase

8 to 41

From 8 to 41 is a 412.5% increase

8 to 43

From 8 to 43 is a 437.5% increase

8 to 44

From 8 to 44 is a 450% increase

8 to 52

From 8 to 52 is a 550% increase

The other way round: Percentage change from 42 to 8. Percentage change is not symmetric: from 8 to 42 is 425%, but from 42 back to 8 is -80.9524%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 8 and 42: 136%. See Percentage difference between 8 and 42.

Practice

2 to 51
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From 2 to 51 is a 2,450% increase

43 to 16
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From 43 to 16 is a 62.7907% decrease

27 to 87
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From 27 to 87 is a 222.2222% increase

46 to 5
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From 46 to 5 is a 89.1304% decrease

40 to 89
Show answer

From 40 to 89 is a 122.5% increase

61 to 13
Show answer

From 61 to 13 is a 78.6885% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 8 to 42

Going from 8 to 42 is a 425% increase. Formula and steps.

Is going from 8 to 42 an increase or a decrease?

An increase: the value grew by 34, which is 425% of the starting value.

What is the percentage change from 42 back to 8?

-80.9524%. It is a different number because the starting value is now 42, not 8.