Sumwise

What is the Percentage Difference from 15 to 23?

From 15 to 23 is a 53.3333% increase

Change
53.3333%
Difference
8
New ÷ old
1.533333
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: 23 − 15 = 8
  2. Divide by the starting value: 8 ÷ 15 = 0.533333
  3. Multiply by 100: 53.3333%
  4. Check: Work forwards from the start: 15 × (1 + 0.533333) = 15 × 1.533333 = 23.

In a spreadsheet: =(23-15)/15*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 1.5333 times the old one: for every 100 at the start there are now 153.3333.

Prices: an item whose price rises from $15 to $23 has gone up by 53.3333%.

Why the change back is different

A 53.3333% rise followed by a 53.3333% fall does not bring you back to 15: it gives 10.7333. The second percentage is taken of 23, not of 15, so to undo this change you need 34.7826% instead.

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The other way round: Percentage difference from 23 to 15

Practice

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Calculate another

How answers are calculated and checked: methodology.

Questions

What is the Percentage Difference from 15 to 23?

Going from 15 to 23 is a 53.3333% increase. Formula and steps.

Is going from 15 to 23 an increase or a decrease?

An increase: the value grew by 8, which is 53.3333% of the starting value.

What is the percentage change from 23 back to 15?

-34.7826%. It is a different number because the starting value is now 23, not 15.