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What is the Percentage Difference from 72 to 99?

From 72 to 99 is a 37.5% increase

Step by step

  1. Difference: 99 − 72 = 27
  2. Divide by the starting value: 27 ÷ 72 = 0.375
  3. Multiply by 100: 37.5%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 72 to 99, a difference of 27. Compared with the starting value of 72, that difference is 37.5%, so this is a 37.5% increase.

The new value is 1.375 times the old one: for every 100 at the start there are now 137.5.

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 $99 has gone up by 37.5%.
  • Pay: a wage that rises from $72 to $99 an hour is a 37.5% pay rise.
  • Audiences: a channel that grows from 72 to 99 subscribers has grown by 37.5%.

A quicker way

Find 1% of the starting value: 72 ÷ 100 = 0.72. The difference of 27 is 37.5 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 72% to 99%, it changes by 27 percentage points, but by 37.5% relative to where it started.

Check the answer

Work forwards from the start: 72 × (1 + 0.375) = 72 × 1.375 = 99. Getting 99 shows the answer is right.

Rounding

Rounded to a whole number the change is 38, to one decimal place 37.5 and to two decimal places 37.50. 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 16

  1. Difference: 16 − 15 = 1
  2. Divide by the starting value: 1 ÷ 15 = 0.066667
  3. Multiply by 100: 6.6667%

Why the change back is different

A 37.5% rise followed by a 37.5% fall does not bring you back to 72: it gives 61.875. The second percentage is taken of 99, not of 72, so to undo this change you need 27.2727% 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 99
  • What percent more is 99 than 72?
  • 72 to 99 as a percent change
  • How much did 72 grow going to 99, in percent?
  • Relative change between 72 and 99

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

Change37.5%
Difference27
New ÷ old1.375
Directionincrease

Related results

72 to 97

From 72 to 97 is a 34.7222% increase

72 to 98

From 72 to 98 is a 36.1111% increase

72 to 100

From 72 to 100 is a 38.8889% increase

72 to 101

From 72 to 101 is a 40.2778% increase

72 to 109

From 72 to 109 is a 51.3889% increase

The other way round: Percentage difference from 99 to 72

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(99-72)/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 16
Show answer

From 15 to 16 is a 6.6667% increase

68 to 50
Show answer

From 68 to 50 is a 26.4706% decrease

18 to 38
Show answer

From 18 to 38 is a 111.1111% increase

95 to 41
Show answer

From 95 to 41 is a 56.8421% decrease

70 to 66
Show answer

From 70 to 66 is a 5.7143% decrease

75 to 76
Show answer

From 75 to 76 is a 1.3333% increase

42 to 36
Show answer

From 42 to 36 is a 14.2857% decrease

72 to 18
Show answer

From 72 to 18 is a 75% decrease

25 to 57
Show answer

From 25 to 57 is a 128% increase

36 to 45
Show answer

From 36 to 45 is a 25% 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 72 to 99?

Going from 72 to 99 is a 37.5% increase. Formula and steps.

Is going from 72 to 99 an increase or a decrease?

An increase: the value grew by 27, which is 37.5% of the starting value.

What is the percentage change from 99 back to 72?

-27.2727%. It is a different number because the starting value is now 99, not 72.

What is the percentage difference between 72 and 99?

When neither value is the starting point, use the average as the base: 27 ÷ 85.5 × 100 = 31.5789%. 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 37.5%.