What is the Percentage Difference from 72 to 81?
From 72 to 81 is a 12.5% increase
Step by step
- Difference: 81 − 72 = 9
- Divide by the starting value: 9 ÷ 72 = 0.125
- Multiply by 100: 12.5%
How the answer is worked out
Percentage change measures a difference against the value you started with. The value went from 72 to 81, a difference of 9. Compared with the starting value of 72, that difference is 12.5%, so this is a 12.5% increase.
The new value is 1.125 times the old one: for every 100 at the start there are now 112.5.
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 $81 has gone up by 12.5%.
- Pay: a wage that rises from $72 to $81 an hour is a 12.5% pay rise.
- Audiences: a channel that grows from 72 to 81 subscribers has grown by 12.5%.
A quicker way
Find 1% of the starting value: 72 ÷ 100 = 0.72. The difference of 9 is 12.5 of those steps.
Percentage change is not the same as percentage points. If a rate moves from 72% to 81%, it changes by 9 percentage points, but by 12.5% relative to where it started.
Check the answer
Work forwards from the start: 72 × (1 + 0.125) = 72 × 1.125 = 81. Getting 81 shows the answer is right.
Rounding
Rounded to a whole number the change is 13, to one decimal place 12.5 and to two decimal places 12.50. 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 43
- Difference: 43 − 15 = 28
- Divide by the starting value: 28 ÷ 15 = 1.866667
- Multiply by 100: 186.6667%
Why the change back is different
A 12.5% rise followed by a 12.5% fall does not bring you back to 72: it gives 70.875. The second percentage is taken of 81, not of 72, so to undo this change you need 11.1111% 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 81
- What percent more is 81 than 72?
- 72 to 81 as a percent change
- How much did 72 grow going to 81, in percent?
- Relative change between 72 and 81
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 | 12.5% |
|---|---|
| Difference | 9 |
| New ÷ old | 1.125 |
| Direction | increase |
Related results
| 72 to 79 | From 72 to 79 is a 9.7222% increase |
| 72 to 80 | From 72 to 80 is a 11.1111% increase |
| 72 to 82 | From 72 to 82 is a 13.8889% increase |
| 72 to 83 | From 72 to 83 is a 15.2778% increase |
| 72 to 91 | From 72 to 91 is a 26.3889% increase |
The other way round: Percentage difference from 81 to 72
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =(81-72)/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 43 | Show answerFrom 15 to 43 is a 186.6667% increase |
| 31 to 7 | Show answerFrom 31 to 7 is a 77.4194% decrease |
| 41 to 4 | Show answerFrom 41 to 4 is a 90.2439% decrease |
| 89 to 95 | Show answerFrom 89 to 95 is a 6.7416% increase |
| 83 to 49 | Show answerFrom 83 to 49 is a 40.9639% decrease |
| 60 to 10 | Show answerFrom 60 to 10 is a 83.3333% decrease |
| 56 to 87 | Show answerFrom 56 to 87 is a 55.3571% increase |
| 76 to 72 | Show answerFrom 76 to 72 is a 5.2632% decrease |
| 63 to 71 | Show answerFrom 63 to 71 is a 12.6984% increase |
| 24 to 19 | Show answerFrom 24 to 19 is a 20.8333% decrease |
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 81?
Going from 72 to 81 is a 12.5% increase. Formula and steps.
Is going from 72 to 81 an increase or a decrease?
An increase: the value grew by 9, which is 12.5% of the starting value.
What is the percentage change from 81 back to 72?
-11.1111%. It is a different number because the starting value is now 81, not 72.
What is the percentage difference between 72 and 81?
When neither value is the starting point, use the average as the base: 9 ÷ 76.5 × 100 = 11.7647%. 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 12.5%.