What is the Percentage Difference from 42 to 57?
From 42 to 57 is a 35.7143% increase
Step by step
- Difference: 57 − 42 = 15
- Divide by the starting value: 15 ÷ 42 = 0.357143
- Multiply by 100: 35.7143%
How the answer is worked out
Percentage change measures a difference against the value you started with. The value went from 42 to 57, a difference of 15. Compared with the starting value of 42, that difference is 35.7143%, so this is a 35.7143% increase.
The new value is 1.3571 times the old one: for every 100 at the start there are now 135.7143.
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 $42 to $57 has gone up by 35.7143%.
- Pay: a wage that rises from $42 to $57 an hour is a 35.7143% pay rise.
- Audiences: a channel that grows from 42 to 57 subscribers has grown by 35.7143%.
A quicker way
Find 1% of the starting value: 42 ÷ 100 = 0.42. The difference of 15 is 35.7143 of those steps.
Percentage change is not the same as percentage points. If a rate moves from 42% to 57%, it changes by 15 percentage points, but by 35.7143% relative to where it started.
Check the answer
Work forwards from the start: 42 × (1 + 0.357143) = 42 × 1.357143 = 57. Getting 57 shows the answer is right.
Rounding
Rounded to a whole number the change is 36, to one decimal place 35.7 and to two decimal places 35.71. 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: 9 to 10
- Difference: 10 − 9 = 1
- Divide by the starting value: 1 ÷ 9 = 0.111111
- Multiply by 100: 11.1111%
Why the change back is different
A 35.7143% rise followed by a 35.7143% fall does not bring you back to 42: it gives 36.6429. The second percentage is taken of 57, not of 42, so to undo this change you need 26.3158% 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 42 to 57
- What percent more is 57 than 42?
- 42 to 57 as a percent change
- How much did 42 grow going to 57, in percent?
- Relative change between 42 and 57
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 | 35.7143% |
|---|---|
| Difference | 15 |
| New ÷ old | 1.357143 |
| Direction | increase |
Related results
| 42 to 55 | From 42 to 55 is a 30.9524% increase |
| 42 to 56 | From 42 to 56 is a 33.3333% increase |
| 42 to 58 | From 42 to 58 is a 38.0952% increase |
| 42 to 59 | From 42 to 59 is a 40.4762% increase |
| 42 to 67 | From 42 to 67 is a 59.5238% increase |
The other way round: Percentage difference from 57 to 42
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =(57-42)/42*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
| 9 to 10 | Show answerFrom 9 to 10 is a 11.1111% increase |
| 94 to 52 | Show answerFrom 94 to 52 is a 44.6809% decrease |
| 77 to 99 | Show answerFrom 77 to 99 is a 28.5714% increase |
| 77 to 38 | Show answerFrom 77 to 38 is a 50.6494% decrease |
| 32 to 48 | Show answerFrom 32 to 48 is a 50% increase |
| 58 to 10 | Show answerFrom 58 to 10 is a 82.7586% decrease |
| 47 to 70 | Show answerFrom 47 to 70 is a 48.9362% increase |
| 15 to 53 | Show answerFrom 15 to 53 is a 253.3333% increase |
| 65 to 46 | Show answerFrom 65 to 46 is a 29.2308% decrease |
| 94 to 82 | Show answerFrom 94 to 82 is a 12.766% 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 42 to 57?
Going from 42 to 57 is a 35.7143% increase. Formula and steps.
Is going from 42 to 57 an increase or a decrease?
An increase: the value grew by 15, which is 35.7143% of the starting value.
What is the percentage change from 57 back to 42?
-26.3158%. It is a different number because the starting value is now 57, not 42.
What is the percentage difference between 42 and 57?
When neither value is the starting point, use the average as the base: 15 ÷ 49.5 × 100 = 30.303%. 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 35.7143%.