Sumwise

Percentage Change from 80 to 30

From 80 to 30 is a 62.5% decrease

Change
-62.5%
Difference
-50
New ÷ old
0.375
Direction
decrease

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: 30 − 80 = -50
  2. Divide by the starting value: -50 ÷ 80 = -0.625
  3. Multiply by 100: -62.5%
  4. Check: Work forwards from the start: 80 × (1 − 0.625) = 80 × 0.375 = 30.

In a spreadsheet: =(30-80)/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 37.5% of the old one: for every 100 at the start there are now 37.5, so 62.5 out of every 100 have gone.

Sales: a price cut from $80 to $30 is a 62.5% discount.

Why the change back is different

A 62.5% fall followed by a 62.5% rise does not bring you back to 80: it gives 48.75. The second percentage is taken of 30, not of 80, so to undo this change you need 166.6667% instead.

Related results

Results for nearby numbers
80 to 28

From 80 to 28 is a 65% decrease

80 to 29

From 80 to 29 is a 63.75% decrease

80 to 31

From 80 to 31 is a 61.25% decrease

80 to 32

From 80 to 32 is a 60% decrease

80 to 40

From 80 to 40 is a 50% decrease

The other way round: Percentage change from 30 to 80. Percentage change is not symmetric: from 80 to 30 is -62.5%, but from 30 back to 80 is 166.6667%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 30 and 80: 90.9091%. See Percentage difference between 30 and 80.

Practice

15 to 47
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From 15 to 47 is a 213.3333% increase

96 to 98
Show answer

From 96 to 98 is a 2.0833% increase

23 to 91
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From 23 to 91 is a 295.6522% increase

18 to 97
Show answer

From 18 to 97 is a 438.8889% increase

2 to 91
Show answer

From 2 to 91 is a 4,450% increase

80 to 91
Show answer

From 80 to 91 is a 13.75% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 80 to 30

Going from 80 to 30 is a 62.5% decrease. Formula and steps.

Is going from 80 to 30 an increase or a decrease?

A decrease: the value fell by 50, which is 62.5% of the starting value.

What is the percentage change from 30 back to 80?

166.6667%. It is a different number because the starting value is now 30, not 80.