Sumwise

Percentage Change from 80 to 70

From 80 to 70 is a 12.5% decrease

Change
-12.5%
Difference
-10
New ÷ old
0.875
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: 70 − 80 = -10
  2. Divide by the starting value: -10 ÷ 80 = -0.125
  3. Multiply by 100: -12.5%
  4. Check: Work forwards from the start: 80 × (1 − 0.125) = 80 × 0.875 = 70.

In a spreadsheet: =(70-80)/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 87.5% of the old one: for every 100 at the start there are now 87.5, so 12.5 out of every 100 have gone.

Sales: a price cut from $80 to $70 is a 12.5% discount.

Why the change back is different

A 12.5% fall followed by a 12.5% rise does not bring you back to 80: it gives 78.75. The second percentage is taken of 70, not of 80, so to undo this change you need 14.2857% instead.

Related results

Results for nearby numbers
80 to 68

From 80 to 68 is a 15% decrease

80 to 69

From 80 to 69 is a 13.75% decrease

80 to 71

From 80 to 71 is a 11.25% decrease

80 to 72

From 80 to 72 is a 10% decrease

The other way round: Percentage change from 70 to 80. Percentage change is not symmetric: from 80 to 70 is -12.5%, but from 70 back to 80 is 14.2857%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 70 and 80: 13.3333%. See Percentage difference between 70 and 80.

Practice

16 to 60
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From 16 to 60 is a 275% increase

5 to 34
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From 5 to 34 is a 580% increase

62 to 89
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From 62 to 89 is a 43.5484% increase

88 to 99
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From 88 to 99 is a 12.5% increase

86 to 3
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From 86 to 3 is a 96.5116% decrease

15 to 95
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From 15 to 95 is a 533.3333% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 80 to 70

Going from 80 to 70 is a 12.5% decrease. Formula and steps.

Is going from 80 to 70 an increase or a decrease?

A decrease: the value fell by 10, which is 12.5% of the starting value.

What is the percentage change from 70 back to 80?

14.2857%. It is a different number because the starting value is now 70, not 80.