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What is the Percentage Difference from 82 to 79?

From 82 to 79 is a 3.6585% decrease

Step by step

  1. Difference: 79 − 82 = -3
  2. Divide by the starting value: -3 ÷ 82 = -0.036585
  3. Multiply by 100: -3.6585%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 82 to 79, a difference of 3. Compared with the starting value of 82, that difference is 3.6585%, so this is a 3.6585% decrease.

The new value is 96.3415% of the old one: for every 100 at the start there are now 96.3415, so 3.6585 out of every 100 have gone.

Why calculate this?

Percentage change compares a new value with an old one regardless of size: price rises, growth, discounts, score changes.

  • Sales: a price cut from $82 to $79 is a 3.6585% discount.
  • Weight: going from 82 to 79 kilograms is a loss of 3.6585% of the starting weight.
  • Results: if a team scores 79 points this season after 82 last season, its total has dropped by 3.6585%.

A quicker way

Find 1% of the starting value: 82 ÷ 100 = 0.82. The difference of 3 is 3.6585 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 82% to 79%, it changes by 3 percentage points, but by 3.6585% relative to where it started.

Check the answer

Work forwards from the start: 82 × (1 − 0.036585) = 82 × 0.963415 = 79. Getting 79 shows the answer is right.

Rounding

Rounded to a whole number the change is -4, to one decimal place -3.7 and to two decimal places -3.66. Round only at the end: rounding halfway through a calculation can change the last digit.

The formula explained

percentage change = (new value − old value) ÷ old value × 100. A positive result is an increase and a negative result is a decrease. The old value is always the base, which is why the change from A to B and from B to A are different percentages.

Another worked example: 17 to 65

  1. Difference: 65 − 17 = 48
  2. Divide by the starting value: 48 ÷ 17 = 2.823529
  3. Multiply by 100: 282.3529%

Why the change back is different

A 3.6585% fall followed by a 3.6585% rise does not bring you back to 82: it gives 81.8902. The second percentage is taken of 79, not of 82, so to undo this change you need 3.7975% instead.

Other ways to ask this

The same calculation is often asked in other words. All of these have the answer above:

  • Percentage decrease from 82 to 79
  • What percent less is 79 than 82?
  • 82 to 79 as a percent change
  • How much did 82 fall going to 79, in percent?
  • Relative change between 82 and 79

Terms used on this page

  • Old value: the starting amount, used as the base of the percentage.
  • New value: the amount after the change.
  • Increase: a positive change: the new value is bigger.
  • Percentage point: the plain difference between two rates, not a relative change.

The answer in other forms

Change-3.6585%
Difference-3
New ÷ old0.963415
Directiondecrease

Related results

82 to 77

From 82 to 77 is a 6.0976% decrease

82 to 78

From 82 to 78 is a 4.878% decrease

82 to 80

From 82 to 80 is a 2.439% decrease

82 to 81

From 82 to 81 is a 1.2195% decrease

82 to 89

From 82 to 89 is a 8.5366% increase

The other way round: Percentage difference from 79 to 82

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(79-82)/82*100 into any cell. Replace the numbers with cell references (for example A1 and B1) to reuse the formula for a whole column.

Common mistakes

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%.

Practice examples

17 to 65
Show answer

From 17 to 65 is a 282.3529% increase

24 to 44
Show answer

From 24 to 44 is a 83.3333% increase

70 to 93
Show answer

From 70 to 93 is a 32.8571% increase

36 to 56
Show answer

From 36 to 56 is a 55.5556% increase

80 to 36
Show answer

From 80 to 36 is a 55% decrease

61 to 25
Show answer

From 61 to 25 is a 59.0164% decrease

43 to 22
Show answer

From 43 to 22 is a 48.8372% decrease

97 to 81
Show answer

From 97 to 81 is a 16.4948% decrease

45 to 84
Show answer

From 45 to 84 is a 86.6667% increase

38 to 31
Show answer

From 38 to 31 is a 18.4211% decrease

Calculate another

How this answer was calculated

The result is worked out from the numbers in this page's address when the page is opened, using exact arithmetic wherever possible and rounding only for display. Nothing is copied from a printed table. If you think an answer is wrong, please tell us through the contact page and we will check it.

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Questions

What is the Percentage Difference from 82 to 79?

Going from 82 to 79 is a 3.6585% decrease. Formula and steps.

Is going from 82 to 79 an increase or a decrease?

A decrease: the value fell by 3, which is 3.6585% of the starting value.

What is the percentage change from 79 back to 82?

3.7975%. It is a different number because the starting value is now 79, not 82.

What is the percentage difference between 82 and 79?

When neither value is the starting point, use the average as the base: 3 ÷ 80.5 × 100 = 3.7267%. That is the symmetric percentage difference.

How do I calculate percentage change in Excel or Google Sheets?

Put the old value in A1 and the new value in B1, then type =(B1-A1)/A1 and format the cell as a percentage. For these numbers it shows -3.6585%.