Sumwise

What is the Percentage Difference from 80 to 78?

From 80 to 78 is a 2.5% decrease

Change
-2.5%
Difference
-2
New ÷ old
0.975
Direction
decrease

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: 78 − 80 = -2
  2. Divide by the starting value: -2 ÷ 80 = -0.025
  3. Multiply by 100: -2.5%
  4. Check: Work forwards from the start: 80 × (1 − 0.025) = 80 × 0.975 = 78.

In a spreadsheet: =(78-80)/80*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 97.5% of the old one: for every 100 at the start there are now 97.5, so 2.5 out of every 100 have gone.

Sales: a price cut from $80 to $78 is a 2.5% discount.

Why the change back is different

A 2.5% fall followed by a 2.5% rise does not bring you back to 80: it gives 79.95. The second percentage is taken of 78, not of 80, so to undo this change you need 2.5641% instead.

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The other way round: Percentage difference from 78 to 80

Practice

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From 58 to 75 is a 29.3103% increase

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Calculate another

How answers are calculated and checked: methodology.

Questions

What is the Percentage Difference from 80 to 78?

Going from 80 to 78 is a 2.5% decrease. Formula and steps.

Is going from 80 to 78 an increase or a decrease?

A decrease: the value fell by 2, which is 2.5% of the starting value.

What is the percentage change from 78 back to 80?

2.5641%. It is a different number because the starting value is now 78, not 80.