What is the Percentage Difference from 75 to 90?
From 75 to 90 is a 20% increase
Step by step
- Difference: 90 − 75 = 15
- Divide by the starting value: 15 ÷ 75 = 0.2
- Multiply by 100: 20%
How the answer is worked out
Percentage change measures a difference against the value you started with. The value went from 75 to 90, a difference of 15. Compared with the starting value of 75, that difference is 20%, so this is a 20% increase.
The new value is 1.2 times the old one: for every 100 at the start there are now 120.
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 $75 to $90 has gone up by 20%.
- Pay: a wage that rises from $75 to $90 an hour is a 20% pay rise.
- Audiences: a channel that grows from 75 to 90 subscribers has grown by 20%.
A quicker way
Find 1% of the starting value: 75 ÷ 100 = 0.75. The difference of 15 is 20 of those steps.
Percentage change is not the same as percentage points. If a rate moves from 75% to 90%, it changes by 15 percentage points, but by 20% relative to where it started.
Check the answer
Work forwards from the start: 75 × (1 + 0.2) = 75 × 1.2 = 90. Getting 90 shows the answer is right.
Rounding
Rounded to a whole number the change is 20, to one decimal place 20.0 and to two decimal places 20.00. 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 96
- Difference: 96 − 15 = 81
- Divide by the starting value: 81 ÷ 15 = 5.4
- Multiply by 100: 540%
Why the change back is different
A 20% rise followed by a 20% fall does not bring you back to 75: it gives 72. The second percentage is taken of 90, not of 75, so to undo this change you need 16.6667% 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 75 to 90
- What percent more is 90 than 75?
- 75 to 90 as a percent change
- How much did 75 grow going to 90, in percent?
- Relative change between 75 and 90
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 | 20% |
|---|---|
| Difference | 15 |
| New ÷ old | 1.2 |
| Direction | increase |
Related results
| 75 to 88 | From 75 to 88 is a 17.3333% increase |
| 75 to 89 | From 75 to 89 is a 18.6667% increase |
| 75 to 91 | From 75 to 91 is a 21.3333% increase |
| 75 to 92 | From 75 to 92 is a 22.6667% increase |
| 75 to 100 | From 75 to 100 is a 33.3333% increase |
The other way round: Percentage difference from 90 to 75
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =(90-75)/75*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 96 | Show answerFrom 15 to 96 is a 540% increase |
| 57 to 63 | Show answerFrom 57 to 63 is a 10.5263% increase |
| 92 to 11 | Show answerFrom 92 to 11 is a 88.0435% decrease |
| 55 to 15 | Show answerFrom 55 to 15 is a 72.7273% decrease |
| 26 to 96 | Show answerFrom 26 to 96 is a 269.2308% increase |
| 97 to 83 | Show answerFrom 97 to 83 is a 14.433% decrease |
| 5 to 65 | Show answerFrom 5 to 65 is a 1,200% increase |
| 33 to 30 | Show answerFrom 33 to 30 is a 9.0909% decrease |
| 43 to 48 | Show answerFrom 43 to 48 is a 11.6279% increase |
| 77 to 47 | Show answerFrom 77 to 47 is a 38.961% 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 75 to 90?
Going from 75 to 90 is a 20% increase. Formula and steps.
Is going from 75 to 90 an increase or a decrease?
An increase: the value grew by 15, which is 20% of the starting value.
What is the percentage change from 90 back to 75?
-16.6667%. It is a different number because the starting value is now 90, not 75.
What is the percentage difference between 75 and 90?
When neither value is the starting point, use the average as the base: 15 ÷ 82.5 × 100 = 18.1818%. 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 20%.