What is the Percentage Difference from 59 to 80?
From 59 to 80 is a 35.5932% increase
Step by step
- Difference: 80 − 59 = 21
- Divide by the starting value: 21 ÷ 59 = 0.355932
- Multiply by 100: 35.5932%
How the answer is worked out
Percentage change measures a difference against the value you started with. The value went from 59 to 80, a difference of 21. Compared with the starting value of 59, that difference is 35.5932%, so this is a 35.5932% increase.
The new value is 1.3559 times the old one: for every 100 at the start there are now 135.5932.
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 $59 to $80 has gone up by 35.5932%.
- Pay: a wage that rises from $59 to $80 an hour is a 35.5932% pay rise.
- Audiences: a channel that grows from 59 to 80 subscribers has grown by 35.5932%.
A quicker way
Find 1% of the starting value: 59 ÷ 100 = 0.59. The difference of 21 is 35.5932 of those steps.
Percentage change is not the same as percentage points. If a rate moves from 59% to 80%, it changes by 21 percentage points, but by 35.5932% relative to where it started.
Check the answer
Work forwards from the start: 59 × (1 + 0.355932) = 59 × 1.355932 = 80. Getting 80 shows the answer is right.
Rounding
Rounded to a whole number the change is 36, to one decimal place 35.6 and to two decimal places 35.59. 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: 12 to 93
- Difference: 93 − 12 = 81
- Divide by the starting value: 81 ÷ 12 = 6.75
- Multiply by 100: 675%
Why the change back is different
A 35.5932% rise followed by a 35.5932% fall does not bring you back to 59: it gives 51.5254. The second percentage is taken of 80, not of 59, so to undo this change you need 26.25% 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 59 to 80
- What percent more is 80 than 59?
- 59 to 80 as a percent change
- How much did 59 grow going to 80, in percent?
- Relative change between 59 and 80
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 | 35.5932% |
|---|---|
| Difference | 21 |
| New ÷ old | 1.355932 |
| Direction | increase |
Related results
| 59 to 78 | From 59 to 78 is a 32.2034% increase |
| 59 to 79 | From 59 to 79 is a 33.8983% increase |
| 59 to 81 | From 59 to 81 is a 37.2881% increase |
| 59 to 82 | From 59 to 82 is a 38.9831% increase |
| 59 to 90 | From 59 to 90 is a 52.5424% increase |
The other way round: Percentage difference from 80 to 59
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =(80-59)/59*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
| 12 to 93 | Show answerFrom 12 to 93 is a 675% increase |
| 55 to 75 | Show answerFrom 55 to 75 is a 36.3636% increase |
| 59 to 94 | Show answerFrom 59 to 94 is a 59.322% increase |
| 97 to 57 | Show answerFrom 97 to 57 is a 41.2371% decrease |
| 74 to 24 | Show answerFrom 74 to 24 is a 67.5676% decrease |
| 78 to 59 | Show answerFrom 78 to 59 is a 24.359% decrease |
| 32 to 51 | Show answerFrom 32 to 51 is a 59.375% increase |
| 98 to 41 | Show answerFrom 98 to 41 is a 58.1633% decrease |
| 8 to 56 | Show answerFrom 8 to 56 is a 600% increase |
| 68 to 24 | Show answerFrom 68 to 24 is a 64.7059% 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 59 to 80?
Going from 59 to 80 is a 35.5932% increase. Formula and steps.
Is going from 59 to 80 an increase or a decrease?
An increase: the value grew by 21, which is 35.5932% of the starting value.
What is the percentage change from 80 back to 59?
-26.25%. It is a different number because the starting value is now 80, not 59.
What is the percentage difference between 59 and 80?
When neither value is the starting point, use the average as the base: 21 ÷ 69.5 × 100 = 30.2158%. 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 35.5932%.