What is the Percentage Difference from 72 to 68?
From 72 to 68 is a 5.5556% decrease
Step by step
- Difference: 68 − 72 = -4
- Divide by the starting value: -4 ÷ 72 = -0.055556
- Multiply by 100: -5.5556%
How the answer is worked out
Percentage change measures a difference against the value you started with. The value went from 72 to 68, a difference of 4. Compared with the starting value of 72, that difference is 5.5556%, so this is a 5.5556% decrease.
The new value is 94.4444% of the old one: for every 100 at the start there are now 94.4444, so 5.5556 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 $72 to $68 is a 5.5556% discount.
- Weight: going from 72 to 68 kilograms is a loss of 5.5556% of the starting weight.
- Results: if a team scores 68 points this season after 72 last season, its total has dropped by 5.5556%.
A quicker way
Find 1% of the starting value: 72 ÷ 100 = 0.72. The difference of 4 is 5.5556 of those steps.
Percentage change is not the same as percentage points. If a rate moves from 72% to 68%, it changes by 4 percentage points, but by 5.5556% relative to where it started.
Check the answer
Work forwards from the start: 72 × (1 − 0.055556) = 72 × 0.944444 = 68. Getting 68 shows the answer is right.
Rounding
Rounded to a whole number the change is -6, to one decimal place -5.6 and to two decimal places -5.56. 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 72
- Difference: 72 − 14 = 58
- Divide by the starting value: 58 ÷ 14 = 4.142857
- Multiply by 100: 414.2857%
Why the change back is different
A 5.5556% fall followed by a 5.5556% rise does not bring you back to 72: it gives 71.7778. The second percentage is taken of 68, not of 72, so to undo this change you need 5.8824% 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 72 to 68
- What percent less is 68 than 72?
- 72 to 68 as a percent change
- How much did 72 fall going to 68, in percent?
- Relative change between 72 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 | -5.5556% |
|---|---|
| Difference | -4 |
| New ÷ old | 0.944444 |
| Direction | decrease |
Related results
| 72 to 66 | From 72 to 66 is a 8.3333% decrease |
| 72 to 67 | From 72 to 67 is a 6.9444% decrease |
| 72 to 69 | From 72 to 69 is a 4.1667% decrease |
| 72 to 70 | From 72 to 70 is a 2.7778% decrease |
| 72 to 78 | From 72 to 78 is a 8.3333% increase |
The other way round: Percentage difference from 68 to 72
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =(68-72)/72*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 72 | Show answerFrom 14 to 72 is a 414.2857% increase |
| 32 to 79 | Show answerFrom 32 to 79 is a 146.875% increase |
| 85 to 39 | Show answerFrom 85 to 39 is a 54.1176% decrease |
| 63 to 22 | Show answerFrom 63 to 22 is a 65.0794% decrease |
| 30 to 55 | Show answerFrom 30 to 55 is a 83.3333% increase |
| 26 to 86 | Show answerFrom 26 to 86 is a 230.7692% increase |
| 37 to 25 | Show answerFrom 37 to 25 is a 32.4324% decrease |
| 56 to 52 | Show answerFrom 56 to 52 is a 7.1429% decrease |
| 31 to 11 | Show answerFrom 31 to 11 is a 64.5161% decrease |
| 60 to 90 | Show answerFrom 60 to 90 is a 50% 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 72 to 68?
Going from 72 to 68 is a 5.5556% decrease. Formula and steps.
Is going from 72 to 68 an increase or a decrease?
A decrease: the value fell by 4, which is 5.5556% of the starting value.
What is the percentage change from 68 back to 72?
5.8824%. It is a different number because the starting value is now 68, not 72.
What is the percentage difference between 72 and 68?
When neither value is the starting point, use the average as the base: 4 ÷ 70 × 100 = 5.7143%. 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 -5.5556%.