What is the Percentage Difference from 69 to 40?
From 69 to 40 is a 42.029% decrease
Step by step
- Difference: 40 − 69 = -29
- Divide by the starting value: -29 ÷ 69 = -0.42029
- Multiply by 100: -42.029%
How the answer is worked out
Percentage change measures a difference against the value you started with. The value went from 69 to 40, a difference of 29. Compared with the starting value of 69, that difference is 42.029%, so this is a 42.029% decrease.
The new value is 57.971% of the old one: for every 100 at the start there are now 57.971, so 42.029 out of every 100 have gone.
Why calculate this?
Percentage change compares a new value with an old one regardless of size: price rises, growth, discounts, score changes.
- Sales: a price cut from $69 to $40 is a 42.029% discount.
- Weight: going from 69 to 40 kilograms is a loss of 42.029% of the starting weight.
- Results: if a team scores 40 points this season after 69 last season, its total has dropped by 42.029%.
A quicker way
Find 1% of the starting value: 69 ÷ 100 = 0.69. The difference of 29 is 42.029 of those steps.
Percentage change is not the same as percentage points. If a rate moves from 69% to 40%, it changes by 29 percentage points, but by 42.029% relative to where it started.
Check the answer
Work forwards from the start: 69 × (1 − 0.42029) = 69 × 0.57971 = 40. Getting 40 shows the answer is right.
Rounding
Rounded to a whole number the change is -42, to one decimal place -42.0 and to two decimal places -42.03. 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: 14 to 29
- Difference: 29 − 14 = 15
- Divide by the starting value: 15 ÷ 14 = 1.071429
- Multiply by 100: 107.1429%
Why the change back is different
A 42.029% fall followed by a 42.029% rise does not bring you back to 69: it gives 56.8116. The second percentage is taken of 40, not of 69, so to undo this change you need 72.5% instead.
Other ways to ask this
The same calculation is often asked in other words. All of these have the answer above:
- Percentage decrease from 69 to 40
- What percent less is 40 than 69?
- 69 to 40 as a percent change
- How much did 69 fall going to 40, in percent?
- Relative change between 69 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 | -42.029% |
|---|---|
| Difference | -29 |
| New ÷ old | 0.57971 |
| Direction | decrease |
Related results
| 69 to 38 | From 69 to 38 is a 44.9275% decrease |
| 69 to 39 | From 69 to 39 is a 43.4783% decrease |
| 69 to 41 | From 69 to 41 is a 40.5797% decrease |
| 69 to 42 | From 69 to 42 is a 39.1304% decrease |
| 69 to 50 | From 69 to 50 is a 27.5362% decrease |
The other way round: Percentage difference from 40 to 69
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =(40-69)/69*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
| 14 to 29 | Show answerFrom 14 to 29 is a 107.1429% increase |
| 50 to 92 | Show answerFrom 50 to 92 is a 84% increase |
| 50 to 44 | Show answerFrom 50 to 44 is a 12% decrease |
| 92 to 90 | Show answerFrom 92 to 90 is a 2.1739% decrease |
| 28 to 37 | Show answerFrom 28 to 37 is a 32.1429% increase |
| 69 to 49 | Show answerFrom 69 to 49 is a 28.9855% decrease |
| 27 to 63 | Show answerFrom 27 to 63 is a 133.3333% increase |
| 61 to 23 | Show answerFrom 61 to 23 is a 62.2951% decrease |
| 82 to 92 | Show answerFrom 82 to 92 is a 12.1951% increase |
| 53 to 76 | Show answerFrom 53 to 76 is a 43.3962% 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.
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Questions
What is the Percentage Difference from 69 to 40?
Going from 69 to 40 is a 42.029% decrease. Formula and steps.
Is going from 69 to 40 an increase or a decrease?
A decrease: the value fell by 29, which is 42.029% of the starting value.
What is the percentage change from 40 back to 69?
72.5%. It is a different number because the starting value is now 40, not 69.
What is the percentage difference between 69 and 40?
When neither value is the starting point, use the average as the base: 29 ÷ 54.5 × 100 = 53.211%. 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 -42.029%.