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What is the Percentage Difference from 72 to 75?

From 72 to 75 is a 4.1667% increase

Step by step

  1. Difference: 75 − 72 = 3
  2. Divide by the starting value: 3 ÷ 72 = 0.041667
  3. Multiply by 100: 4.1667%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 72 to 75, a difference of 3. Compared with the starting value of 72, that difference is 4.1667%, so this is a 4.1667% increase.

The new value is 1.0417 times the old one: for every 100 at the start there are now 104.1667.

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 $75 has gone up by 4.1667%.
  • Pay: a wage that rises from $72 to $75 an hour is a 4.1667% pay rise.
  • Audiences: a channel that grows from 72 to 75 subscribers has grown by 4.1667%.

A quicker way

Find 1% of the starting value: 72 ÷ 100 = 0.72. The difference of 3 is 4.1667 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 72% to 75%, it changes by 3 percentage points, but by 4.1667% relative to where it started.

Check the answer

Work forwards from the start: 72 × (1 + 0.041667) = 72 × 1.041667 = 75. Getting 75 shows the answer is right.

Rounding

Rounded to a whole number the change is 4, to one decimal place 4.2 and to two decimal places 4.17. 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 28

  1. Difference: 28 − 15 = 13
  2. Divide by the starting value: 13 ÷ 15 = 0.866667
  3. Multiply by 100: 86.6667%

Why the change back is different

A 4.1667% rise followed by a 4.1667% fall does not bring you back to 72: it gives 71.875. The second percentage is taken of 75, not of 72, so to undo this change you need 4% 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 75
  • What percent more is 75 than 72?
  • 72 to 75 as a percent change
  • How much did 72 grow going to 75, in percent?
  • Relative change between 72 and 75

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

Change4.1667%
Difference3
New ÷ old1.041667
Directionincrease

Related results

72 to 73

From 72 to 73 is a 1.3889% increase

72 to 74

From 72 to 74 is a 2.7778% increase

72 to 76

From 72 to 76 is a 5.5556% increase

72 to 77

From 72 to 77 is a 6.9444% increase

72 to 85

From 72 to 85 is a 18.0556% increase

The other way round: Percentage difference from 75 to 72

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(75-72)/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 28
Show answer

From 15 to 28 is a 86.6667% increase

75 to 87
Show answer

From 75 to 87 is a 16% increase

51 to 43
Show answer

From 51 to 43 is a 15.6863% decrease

95 to 46
Show answer

From 95 to 46 is a 51.5789% decrease

37 to 38
Show answer

From 37 to 38 is a 2.7027% increase

80 to 97
Show answer

From 80 to 97 is a 21.25% increase

37 to 52
Show answer

From 37 to 52 is a 40.5405% increase

23 to 64
Show answer

From 23 to 64 is a 178.2609% increase

35 to 42
Show answer

From 35 to 42 is a 20% increase

63 to 95
Show answer

From 63 to 95 is a 50.7937% 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 75?

Going from 72 to 75 is a 4.1667% increase. Formula and steps.

Is going from 72 to 75 an increase or a decrease?

An increase: the value grew by 3, which is 4.1667% of the starting value.

What is the percentage change from 75 back to 72?

-4%. It is a different number because the starting value is now 75, not 72.

What is the percentage difference between 72 and 75?

When neither value is the starting point, use the average as the base: 3 ÷ 73.5 × 100 = 4.0816%. 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 4.1667%.