What is the Percentage Difference from 80 to 52?
From 80 to 52 is a 35% decrease
Step by step
- Difference: 52 − 80 = -28
- Divide by the starting value: -28 ÷ 80 = -0.35
- Multiply by 100: -35%
How the answer is worked out
Percentage change measures a difference against the value you started with. The value went from 80 to 52, a difference of 28. Compared with the starting value of 80, that difference is 35%, so this is a 35% decrease.
The new value is 65% of the old one: for every 100 at the start there are now 65, so 35 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 $80 to $52 is a 35% discount.
- Weight: going from 80 to 52 kilograms is a loss of 35% of the starting weight.
- Results: if a team scores 52 points this season after 80 last season, its total has dropped by 35%.
A quicker way
Find 1% of the starting value: 80 ÷ 100 = 0.8. The difference of 28 is 35 of those steps.
Percentage change is not the same as percentage points. If a rate moves from 80% to 52%, it changes by 28 percentage points, but by 35% relative to where it started.
Check the answer
Work forwards from the start: 80 × (1 − 0.35) = 80 × 0.65 = 52. Getting 52 shows the answer is right.
Rounding
Rounded to a whole number the change is -35, to one decimal place -35.0 and to two decimal places -35.00. 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: 15 to 87
- Difference: 87 − 15 = 72
- Divide by the starting value: 72 ÷ 15 = 4.8
- Multiply by 100: 480%
Why the change back is different
A 35% fall followed by a 35% rise does not bring you back to 80: it gives 70.2. The second percentage is taken of 52, not of 80, so to undo this change you need 53.8462% 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 80 to 52
- What percent less is 52 than 80?
- 80 to 52 as a percent change
- How much did 80 fall going to 52, in percent?
- Relative change between 80 and 52
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% |
|---|---|
| Difference | -28 |
| New ÷ old | 0.65 |
| Direction | decrease |
Related results
| 80 to 50 | From 80 to 50 is a 37.5% decrease |
| 80 to 51 | From 80 to 51 is a 36.25% decrease |
| 80 to 53 | From 80 to 53 is a 33.75% decrease |
| 80 to 54 | From 80 to 54 is a 32.5% decrease |
| 80 to 62 | From 80 to 62 is a 22.5% decrease |
The other way round: Percentage difference from 52 to 80
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =(52-80)/80*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 87 | Show answerFrom 15 to 87 is a 480% increase |
| 91 to 16 | Show answerFrom 91 to 16 is a 82.4176% decrease |
| 85 to 74 | Show answerFrom 85 to 74 is a 12.9412% decrease |
| 94 to 42 | Show answerFrom 94 to 42 is a 55.3191% decrease |
| 73 to 84 | Show answerFrom 73 to 84 is a 15.0685% increase |
| 49 to 14 | Show answerFrom 49 to 14 is a 71.4286% decrease |
| 73 to 33 | Show answerFrom 73 to 33 is a 54.7945% decrease |
| 45 to 5 | Show answerFrom 45 to 5 is a 88.8889% decrease |
| 83 to 82 | Show answerFrom 83 to 82 is a 1.2048% decrease |
| 52 to 61 | Show answerFrom 52 to 61 is a 17.3077% 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 80 to 52?
Going from 80 to 52 is a 35% decrease. Formula and steps.
Is going from 80 to 52 an increase or a decrease?
A decrease: the value fell by 28, which is 35% of the starting value.
What is the percentage change from 52 back to 80?
53.8462%. It is a different number because the starting value is now 52, not 80.
What is the percentage difference between 80 and 52?
When neither value is the starting point, use the average as the base: 28 ÷ 66 × 100 = 42.4242%. 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%.