Sumwise

Percentage Change from 42 to 66

From 42 to 66 is a 57.1429% increase

Change
57.1429%
Difference
24
New ÷ old
1.571429
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: 66 − 42 = 24
  2. Divide by the starting value: 24 ÷ 42 = 0.571429
  3. Multiply by 100: 57.1429%
  4. Check: Work forwards from the start: 42 × (1 + 0.571429) = 42 × 1.571429 = 66.

In a spreadsheet: =(66-42)/42*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 1.5714 times the old one: for every 100 at the start there are now 157.1429.

Prices: an item whose price rises from $42 to $66 has gone up by 57.1429%.

Why the change back is different

A 57.1429% rise followed by a 57.1429% fall does not bring you back to 42: it gives 28.2857. The second percentage is taken of 66, not of 42, so to undo this change you need 36.3636% instead.

Related results

Results for nearby numbers
42 to 64

From 42 to 64 is a 52.381% increase

42 to 65

From 42 to 65 is a 54.7619% increase

42 to 67

From 42 to 67 is a 59.5238% increase

42 to 68

From 42 to 68 is a 61.9048% increase

42 to 76

From 42 to 76 is a 80.9524% increase

The other way round: Percentage change from 66 to 42. Percentage change is not symmetric: from 42 to 66 is 57.1429%, but from 66 back to 42 is -36.3636%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 42 and 66: 44.4444%. See Percentage difference between 42 and 66.

Practice

9 to 30
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From 9 to 30 is a 233.3333% increase

86 to 14
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From 86 to 14 is a 83.7209% decrease

78 to 92
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From 78 to 92 is a 17.9487% increase

20 to 72
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From 20 to 72 is a 260% increase

13 to 91
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From 13 to 91 is a 600% increase

39 to 12
Show answer

From 39 to 12 is a 69.2308% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 42 to 66

Going from 42 to 66 is a 57.1429% increase. Formula and steps.

Is going from 42 to 66 an increase or a decrease?

An increase: the value grew by 24, which is 57.1429% of the starting value.

What is the percentage change from 66 back to 42?

-36.3636%. It is a different number because the starting value is now 66, not 42.