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What is the Percentage Difference from 48 to 36?

From 48 to 36 is a 25% decrease

Step by step

  1. Difference: 36 − 48 = -12
  2. Divide by the starting value: -12 ÷ 48 = -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 48 to 36, a difference of 12. Compared with the starting value of 48, 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 $48 to $36 is a 25% discount.
  • Weight: going from 48 to 36 kilograms is a loss of 25% of the starting weight.
  • Results: if a team scores 36 points this season after 48 last season, its total has dropped by 25%.

A quicker way

Find 1% of the starting value: 48 ÷ 100 = 0.48. The difference of 12 is 25 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 48% to 36%, it changes by 12 percentage points, but by 25% relative to where it started.

Check the answer

Work forwards from the start: 48 × (1 − 0.25) = 48 × 0.75 = 36. Getting 36 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 48: it gives 45. The second percentage is taken of 36, not of 48, 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 48 to 36
  • What percent less is 36 than 48?
  • 48 to 36 as a percent change
  • How much did 48 fall going to 36, in percent?
  • Relative change between 48 and 36

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-12
New ÷ old0.75
Directiondecrease

Related results

48 to 34

From 48 to 34 is a 29.1667% decrease

48 to 35

From 48 to 35 is a 27.0833% decrease

48 to 37

From 48 to 37 is a 22.9167% decrease

48 to 38

From 48 to 38 is a 20.8333% decrease

48 to 46

From 48 to 46 is a 4.1667% decrease

The other way round: Percentage difference from 36 to 48

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(36-48)/48*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

82 to 16
Show answer

From 82 to 16 is a 80.4878% decrease

37 to 2
Show answer

From 37 to 2 is a 94.5946% decrease

55 to 76
Show answer

From 55 to 76 is a 38.1818% increase

70 to 76
Show answer

From 70 to 76 is a 8.5714% increase

90 to 92
Show answer

From 90 to 92 is a 2.2222% increase

35 to 40
Show answer

From 35 to 40 is a 14.2857% increase

96 to 51
Show answer

From 96 to 51 is a 46.875% decrease

70 to 45
Show answer

From 70 to 45 is a 35.7143% decrease

61 to 19
Show answer

From 61 to 19 is a 68.8525% 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 48 to 36?

Going from 48 to 36 is a 25% decrease. Formula and steps.

Is going from 48 to 36 an increase or a decrease?

A decrease: the value fell by 12, which is 25% of the starting value.

What is the percentage change from 36 back to 48?

33.3333%. It is a different number because the starting value is now 36, not 48.

What is the percentage difference between 48 and 36?

When neither value is the starting point, use the average as the base: 12 ÷ 42 × 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%.