What is the Percentage Difference from 32 to 40?
From 32 to 40 is a 25% increase
Step by step
- Difference: 40 − 32 = 8
- Divide by the starting value: 8 ÷ 32 = 0.25
- 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 32 to 40, a difference of 8. Compared with the starting value of 32, that difference is 25%, so this is a 25% increase.
The new value is 1.25 times the old one: for every 100 at the start there are now 125.
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 $32 to $40 has gone up by 25%.
- Pay: a wage that rises from $32 to $40 an hour is a 25% pay rise.
- Audiences: a channel that grows from 32 to 40 subscribers has grown by 25%.
A quicker way
Find 1% of the starting value: 32 ÷ 100 = 0.32. The difference of 8 is 25 of those steps.
Percentage change is not the same as percentage points. If a rate moves from 32% to 40%, it changes by 8 percentage points, but by 25% relative to where it started.
Check the answer
Work forwards from the start: 32 × (1 + 0.25) = 32 × 1.25 = 40. Getting 40 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: 7 to 2
- Difference: 2 − 7 = -5
- Divide by the starting value: -5 ÷ 7 = -0.714286
- Multiply by 100: -71.4286%
Why the change back is different
A 25% rise followed by a 25% fall does not bring you back to 32: it gives 30. The second percentage is taken of 40, not of 32, so to undo this change you need 20% 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 32 to 40
- What percent more is 40 than 32?
- 32 to 40 as a percent change
- How much did 32 grow going to 40, in percent?
- Relative change between 32 and 40
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 | 8 |
| New ÷ old | 1.25 |
| Direction | increase |
Related results
| 32 to 38 | From 32 to 38 is a 18.75% increase |
| 32 to 39 | From 32 to 39 is a 21.875% increase |
| 32 to 41 | From 32 to 41 is a 28.125% increase |
| 32 to 42 | From 32 to 42 is a 31.25% increase |
| 32 to 50 | From 32 to 50 is a 56.25% increase |
The other way round: Percentage difference from 40 to 32
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =(40-32)/32*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
| 7 to 2 | Show answerFrom 7 to 2 is a 71.4286% decrease |
| 96 to 50 | Show answerFrom 96 to 50 is a 47.9167% decrease |
| 41 to 9 | Show answerFrom 41 to 9 is a 78.0488% decrease |
| 8 to 80 | Show answerFrom 8 to 80 is a 900% increase |
| 61 to 93 | Show answerFrom 61 to 93 is a 52.459% increase |
| 74 to 44 | Show answerFrom 74 to 44 is a 40.5405% decrease |
| 94 to 40 | Show answerFrom 94 to 40 is a 57.4468% decrease |
| 28 to 89 | Show answerFrom 28 to 89 is a 217.8571% increase |
| 48 to 60 | Show answerFrom 48 to 60 is a 25% increase |
| 68 to 96 | Show answerFrom 68 to 96 is a 41.1765% increase |
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.
Reference this page
Copy a citation or link:
<a href="https://sumwisemath.com/calc/percentage-change/difference-from-32-to-40/">What is the Percentage Difference from 32 to 40?</a>
"What is the Percentage Difference from 32 to 40?". Sumwise. https://sumwisemath.com/calc/percentage-change/difference-from-32-to-40/
Questions
What is the Percentage Difference from 32 to 40?
Going from 32 to 40 is a 25% increase. Formula and steps.
Is going from 32 to 40 an increase or a decrease?
An increase: the value grew by 8, which is 25% of the starting value.
What is the percentage change from 40 back to 32?
-20%. It is a different number because the starting value is now 40, not 32.
What is the percentage difference between 32 and 40?
When neither value is the starting point, use the average as the base: 8 ÷ 36 × 100 = 22.2222%. 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%.