What is the Percentage Difference from 80 to 68?
From 80 to 68 is a 15% decrease
Step by step
- Difference: 68 − 80 = -12
- Divide by the starting value: -12 ÷ 80 = -0.15
- Multiply by 100: -15%
How the answer is worked out
Percentage change measures a difference against the value you started with. The value went from 80 to 68, a difference of 12. Compared with the starting value of 80, that difference is 15%, so this is a 15% decrease.
The new value is 85% of the old one: for every 100 at the start there are now 85, so 15 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 $68 is a 15% discount.
- Weight: going from 80 to 68 kilograms is a loss of 15% of the starting weight.
- Results: if a team scores 68 points this season after 80 last season, its total has dropped by 15%.
A quicker way
Find 1% of the starting value: 80 ÷ 100 = 0.8. The difference of 12 is 15 of those steps.
Percentage change is not the same as percentage points. If a rate moves from 80% to 68%, it changes by 12 percentage points, but by 15% relative to where it started.
Check the answer
Work forwards from the start: 80 × (1 − 0.15) = 80 × 0.85 = 68. Getting 68 shows the answer is right.
Rounding
Rounded to a whole number the change is -15, to one decimal place -15.0 and to two decimal places -15.00. 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: 16 to 63
- Difference: 63 − 16 = 47
- Divide by the starting value: 47 ÷ 16 = 2.9375
- Multiply by 100: 293.75%
Why the change back is different
A 15% fall followed by a 15% rise does not bring you back to 80: it gives 78.2. The second percentage is taken of 68, not of 80, so to undo this change you need 17.6471% 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 68
- What percent less is 68 than 80?
- 80 to 68 as a percent change
- How much did 80 fall going to 68, in percent?
- Relative change between 80 and 68
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 | -15% |
|---|---|
| Difference | -12 |
| New ÷ old | 0.85 |
| Direction | decrease |
Related results
| 80 to 66 | From 80 to 66 is a 17.5% decrease |
| 80 to 67 | From 80 to 67 is a 16.25% decrease |
| 80 to 69 | From 80 to 69 is a 13.75% decrease |
| 80 to 70 | From 80 to 70 is a 12.5% decrease |
| 80 to 78 | From 80 to 78 is a 2.5% decrease |
The other way round: Percentage difference from 68 to 80
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =(68-80)/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
| 16 to 63 | Show answerFrom 16 to 63 is a 293.75% increase |
| 14 to 22 | Show answerFrom 14 to 22 is a 57.1429% increase |
| 49 to 83 | Show answerFrom 49 to 83 is a 69.3878% increase |
| 4 to 68 | Show answerFrom 4 to 68 is a 1,600% increase |
| 58 to 32 | Show answerFrom 58 to 32 is a 44.8276% decrease |
| 43 to 6 | Show answerFrom 43 to 6 is a 86.0465% decrease |
| 36 to 34 | Show answerFrom 36 to 34 is a 5.5556% decrease |
| 5 to 13 | Show answerFrom 5 to 13 is a 160% increase |
| 65 to 66 | Show answerFrom 65 to 66 is a 1.5385% increase |
| 96 to 95 | Show answerFrom 96 to 95 is a 1.0417% 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 80 to 68?
Going from 80 to 68 is a 15% decrease. Formula and steps.
Is going from 80 to 68 an increase or a decrease?
A decrease: the value fell by 12, which is 15% of the starting value.
What is the percentage change from 68 back to 80?
17.6471%. It is a different number because the starting value is now 68, not 80.
What is the percentage difference between 80 and 68?
When neither value is the starting point, use the average as the base: 12 ÷ 74 × 100 = 16.2162%. 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 -15%.