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What is the Percentage Difference from 72 to 95?

From 72 to 95 is a 31.9444% increase

Step by step

  1. Difference: 95 − 72 = 23
  2. Divide by the starting value: 23 ÷ 72 = 0.319444
  3. Multiply by 100: 31.9444%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 72 to 95, a difference of 23. Compared with the starting value of 72, that difference is 31.9444%, so this is a 31.9444% increase.

The new value is 1.3194 times the old one: for every 100 at the start there are now 131.9444.

Why calculate this?

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

  • Prices: an item whose price rises from $72 to $95 has gone up by 31.9444%.
  • Pay: a wage that rises from $72 to $95 an hour is a 31.9444% pay rise.
  • Audiences: a channel that grows from 72 to 95 subscribers has grown by 31.9444%.

A quicker way

Find 1% of the starting value: 72 ÷ 100 = 0.72. The difference of 23 is 31.9444 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 72% to 95%, it changes by 23 percentage points, but by 31.9444% relative to where it started.

Check the answer

Work forwards from the start: 72 × (1 + 0.319444) = 72 × 1.319444 = 95. Getting 95 shows the answer is right.

Rounding

Rounded to a whole number the change is 32, to one decimal place 31.9 and to two decimal places 31.94. 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: 15 to 9

  1. Difference: 9 − 15 = -6
  2. Divide by the starting value: -6 ÷ 15 = -0.4
  3. Multiply by 100: -40%

Why the change back is different

A 31.9444% rise followed by a 31.9444% fall does not bring you back to 72: it gives 64.6528. The second percentage is taken of 95, not of 72, so to undo this change you need 24.2105% instead.

Other ways to ask this

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

  • Percentage increase from 72 to 95
  • What percent more is 95 than 72?
  • 72 to 95 as a percent change
  • How much did 72 grow going to 95, in percent?
  • Relative change between 72 and 95

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

Change31.9444%
Difference23
New ÷ old1.319444
Directionincrease

Related results

72 to 93

From 72 to 93 is a 29.1667% increase

72 to 94

From 72 to 94 is a 30.5556% increase

72 to 96

From 72 to 96 is a 33.3333% increase

72 to 97

From 72 to 97 is a 34.7222% increase

72 to 105

From 72 to 105 is a 45.8333% increase

The other way round: Percentage difference from 95 to 72

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(95-72)/72*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

15 to 9
Show answer

From 15 to 9 is a 40% decrease

36 to 21
Show answer

From 36 to 21 is a 41.6667% decrease

88 to 40
Show answer

From 88 to 40 is a 54.5455% decrease

81 to 82
Show answer

From 81 to 82 is a 1.2346% increase

8 to 21
Show answer

From 8 to 21 is a 162.5% increase

93 to 32
Show answer

From 93 to 32 is a 65.5914% decrease

49 to 70
Show answer

From 49 to 70 is a 42.8571% increase

16 to 14
Show answer

From 16 to 14 is a 12.5% decrease

29 to 43
Show answer

From 29 to 43 is a 48.2759% increase

65 to 23
Show answer

From 65 to 23 is a 64.6154% 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 72 to 95?

Going from 72 to 95 is a 31.9444% increase. Formula and steps.

Is going from 72 to 95 an increase or a decrease?

An increase: the value grew by 23, which is 31.9444% of the starting value.

What is the percentage change from 95 back to 72?

-24.2105%. It is a different number because the starting value is now 95, not 72.

What is the percentage difference between 72 and 95?

When neither value is the starting point, use the average as the base: 23 ÷ 83.5 × 100 = 27.5449%. 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 31.9444%.