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What is the Percentage Difference from 52 to 39?

From 52 to 39 is a 25% decrease

Step by step

  1. Difference: 39 − 52 = -13
  2. Divide by the starting value: -13 ÷ 52 = -0.25
  3. Multiply by 100: -25%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 52 to 39, a difference of 13. Compared with the starting value of 52, that difference is 25%, so this is a 25% decrease.

The new value is 75% of the old one: for every 100 at the start there are now 75, so 25 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 $52 to $39 is a 25% discount.
  • Weight: going from 52 to 39 kilograms is a loss of 25% of the starting weight.
  • Results: if a team scores 39 points this season after 52 last season, its total has dropped by 25%.

A quicker way

Find 1% of the starting value: 52 ÷ 100 = 0.52. The difference of 13 is 25 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 52% to 39%, it changes by 13 percentage points, but by 25% relative to where it started.

Check the answer

Work forwards from the start: 52 × (1 − 0.25) = 52 × 0.75 = 39. Getting 39 shows the answer is right.

Rounding

Rounded to a whole number the change is -25, to one decimal place -25.0 and to two decimal places -25.00. 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: 10 to 99

  1. Difference: 99 − 10 = 89
  2. Divide by the starting value: 89 ÷ 10 = 8.9
  3. Multiply by 100: 890%

Why the change back is different

A 25% fall followed by a 25% rise does not bring you back to 52: it gives 48.75. The second percentage is taken of 39, not of 52, so to undo this change you need 33.3333% 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 52 to 39
  • What percent less is 39 than 52?
  • 52 to 39 as a percent change
  • How much did 52 fall going to 39, in percent?
  • Relative change between 52 and 39

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-25%
Difference-13
New ÷ old0.75
Directiondecrease

Related results

52 to 37

From 52 to 37 is a 28.8462% decrease

52 to 38

From 52 to 38 is a 26.9231% decrease

52 to 40

From 52 to 40 is a 23.0769% decrease

52 to 41

From 52 to 41 is a 21.1538% decrease

52 to 49

From 52 to 49 is a 5.7692% decrease

The other way round: Percentage difference from 39 to 52

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(39-52)/52*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

10 to 99
Show answer

From 10 to 99 is a 890% increase

14 to 42
Show answer

From 14 to 42 is a 200% increase

8 to 31
Show answer

From 8 to 31 is a 287.5% increase

52 to 94
Show answer

From 52 to 94 is a 80.7692% increase

54 to 19
Show answer

From 54 to 19 is a 64.8148% decrease

56 to 20
Show answer

From 56 to 20 is a 64.2857% decrease

35 to 74
Show answer

From 35 to 74 is a 111.4286% increase

89 to 48
Show answer

From 89 to 48 is a 46.0674% decrease

39 to 61
Show answer

From 39 to 61 is a 56.4103% increase

17 to 37
Show answer

From 17 to 37 is a 117.6471% increase

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 52 to 39?

Going from 52 to 39 is a 25% decrease. Formula and steps.

Is going from 52 to 39 an increase or a decrease?

A decrease: the value fell by 13, which is 25% of the starting value.

What is the percentage change from 39 back to 52?

33.3333%. It is a different number because the starting value is now 39, not 52.

What is the percentage difference between 52 and 39?

When neither value is the starting point, use the average as the base: 13 ÷ 45.5 × 100 = 28.5714%. 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 -25%.