What is the Percentage Difference from 52 to 11?
From 52 to 11 is a 78.8462% decrease
Step by step
- Difference: 11 − 52 = -41
- Divide by the starting value: -41 ÷ 52 = -0.788462
- Multiply by 100: -78.8462%
How the answer is worked out
Percentage change measures a difference against the value you started with. The value went from 52 to 11, a difference of 41. Compared with the starting value of 52, that difference is 78.8462%, so this is a 78.8462% decrease.
The new value is 21.1538% of the old one: for every 100 at the start there are now 21.1538, so 78.8462 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 $52 to $11 is a 78.8462% discount.
- Weight: going from 52 to 11 kilograms is a loss of 78.8462% of the starting weight.
- Results: if a team scores 11 points this season after 52 last season, its total has dropped by 78.8462%.
A quicker way
Find 1% of the starting value: 52 ÷ 100 = 0.52. The difference of 41 is 78.8462 of those steps.
Percentage change is not the same as percentage points. If a rate moves from 52% to 11%, it changes by 41 percentage points, but by 78.8462% relative to where it started.
Check the answer
Work forwards from the start: 52 × (1 − 0.788462) = 52 × 0.211538 = 11. Getting 11 shows the answer is right.
Rounding
Rounded to a whole number the change is -79, to one decimal place -78.8 and to two decimal places -78.85. 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: 10 to 44
- Difference: 44 − 10 = 34
- Divide by the starting value: 34 ÷ 10 = 3.4
- Multiply by 100: 340%
Why the change back is different
A 78.8462% fall followed by a 78.8462% rise does not bring you back to 52: it gives 19.6731. The second percentage is taken of 11, not of 52, so to undo this change you need 372.7273% 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 52 to 11
- What percent less is 11 than 52?
- 52 to 11 as a percent change
- How much did 52 fall going to 11, in percent?
- Relative change between 52 and 11
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 | -78.8462% |
|---|---|
| Difference | -41 |
| New ÷ old | 0.211538 |
| Direction | decrease |
Related results
| 52 to 9 | From 52 to 9 is a 82.6923% decrease |
| 52 to 10 | From 52 to 10 is a 80.7692% decrease |
| 52 to 12 | From 52 to 12 is a 76.9231% decrease |
| 52 to 13 | From 52 to 13 is a 75% decrease |
| 52 to 21 | From 52 to 21 is a 59.6154% decrease |
The other way round: Percentage difference from 11 to 52
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =(11-52)/52*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
| 10 to 44 | Show answerFrom 10 to 44 is a 340% increase |
| 88 to 60 | Show answerFrom 88 to 60 is a 31.8182% decrease |
| 86 to 8 | Show answerFrom 86 to 8 is a 90.6977% decrease |
| 55 to 53 | Show answerFrom 55 to 53 is a 3.6364% decrease |
| 85 to 86 | Show answerFrom 85 to 86 is a 1.1765% increase |
| 35 to 54 | Show answerFrom 35 to 54 is a 54.2857% increase |
| 89 to 67 | Show answerFrom 89 to 67 is a 24.7191% decrease |
| 5 to 72 | Show answerFrom 5 to 72 is a 1,340% increase |
| 85 to 20 | Show answerFrom 85 to 20 is a 76.4706% decrease |
| 2 to 54 | Show answerFrom 2 to 54 is a 2,600% 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 52 to 11?
Going from 52 to 11 is a 78.8462% decrease. Formula and steps.
Is going from 52 to 11 an increase or a decrease?
A decrease: the value fell by 41, which is 78.8462% of the starting value.
What is the percentage change from 11 back to 52?
372.7273%. It is a different number because the starting value is now 11, not 52.
What is the percentage difference between 52 and 11?
When neither value is the starting point, use the average as the base: 41 ÷ 31.5 × 100 = 130.1587%. 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 -78.8462%.