Sumwise

What is the Percentage Difference from 42 to 52?

From 42 to 52 is a 23.8095% increase

Change
23.8095%
Difference
10
New ÷ old
1.238095
Direction
increase

Sumwise · Data: exact arithmetic; unit definitions from NIST SP 811 · Updated · How we check it

How to work it out

  1. Difference: 52 − 42 = 10
  2. Divide by the starting value: 10 ÷ 42 = 0.238095
  3. Multiply by 100: 23.8095%
  4. Check: Work forwards from the start: 42 × (1 + 0.238095) = 42 × 1.238095 = 52.

In a spreadsheet: =(52-42)/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 1.2381 times the old one: for every 100 at the start there are now 123.8095.

Prices: an item whose price rises from $42 to $52 has gone up by 23.8095%.

Why the change back is different

A 23.8095% rise followed by a 23.8095% fall does not bring you back to 42: it gives 39.619. The second percentage is taken of 52, not of 42, so to undo this change you need 19.2308% instead.

Related results

Results for nearby numbers
42 to 50

From 42 to 50 is a 19.0476% increase

42 to 51

From 42 to 51 is a 21.4286% increase

42 to 53

From 42 to 53 is a 26.1905% increase

42 to 54

From 42 to 54 is a 28.5714% increase

42 to 62

From 42 to 62 is a 47.619% increase

The other way round: Percentage difference from 52 to 42

Practice

9 to 2
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From 9 to 2 is a 77.7778% decrease

25 to 33
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From 25 to 33 is a 32% increase

55 to 70
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From 55 to 70 is a 27.2727% increase

14 to 15
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From 14 to 15 is a 7.1429% increase

28 to 26
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From 28 to 26 is a 7.1429% decrease

23 to 81
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From 23 to 81 is a 252.1739% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

What is the Percentage Difference from 42 to 52?

Going from 42 to 52 is a 23.8095% increase. Formula and steps.

Is going from 42 to 52 an increase or a decrease?

An increase: the value grew by 10, which is 23.8095% of the starting value.

What is the percentage change from 52 back to 42?

-19.2308%. It is a different number because the starting value is now 52, not 42.