Sumwise

What is the Percentage Difference from 41 to 42?

From 41 to 42 is a 2.439% increase

Change
2.439%
Difference
1
New ÷ old
1.02439
Direction
increase

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

How to work it out

  1. Difference: 42 − 41 = 1
  2. Divide by the starting value: 1 ÷ 41 = 0.02439
  3. Multiply by 100: 2.439%
  4. Check: Work forwards from the start: 41 × (1 + 0.02439) = 41 × 1.02439 = 42.

In a spreadsheet: =(42-41)/41*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 1.0244 times the old one: for every 100 at the start there are now 102.439.

Prices: an item whose price rises from $41 to $42 has gone up by 2.439%.

Why the change back is different

A 2.439% rise followed by a 2.439% fall does not bring you back to 41: it gives 40.9756. The second percentage is taken of 42, not of 41, so to undo this change you need 2.381% instead.

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The other way round: Percentage difference from 42 to 41

Practice

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Calculate another

How answers are calculated and checked: methodology.

Questions

What is the Percentage Difference from 41 to 42?

Going from 41 to 42 is a 2.439% increase. Formula and steps.

Is going from 41 to 42 an increase or a decrease?

An increase: the value grew by 1, which is 2.439% of the starting value.

What is the percentage change from 42 back to 41?

-2.381%. It is a different number because the starting value is now 42, not 41.