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What is the Percentage Difference from 42 to 65?

From 42 to 65 is a 54.7619% increase

Step by step

  1. Difference: 65 − 42 = 23
  2. Divide by the starting value: 23 ÷ 42 = 0.547619
  3. Multiply by 100: 54.7619%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 42 to 65, a difference of 23. Compared with the starting value of 42, that difference is 54.7619%, so this is a 54.7619% increase.

The new value is 1.5476 times the old one: for every 100 at the start there are now 154.7619.

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 $42 to $65 has gone up by 54.7619%.
  • Pay: a wage that rises from $42 to $65 an hour is a 54.7619% pay rise.
  • Audiences: a channel that grows from 42 to 65 subscribers has grown by 54.7619%.

A quicker way

Find 1% of the starting value: 42 ÷ 100 = 0.42. The difference of 23 is 54.7619 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 42% to 65%, it changes by 23 percentage points, but by 54.7619% relative to where it started.

Check the answer

Work forwards from the start: 42 × (1 + 0.547619) = 42 × 1.547619 = 65. Getting 65 shows the answer is right.

Rounding

Rounded to a whole number the change is 55, to one decimal place 54.8 and to two decimal places 54.76. 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: 9 to 47

  1. Difference: 47 − 9 = 38
  2. Divide by the starting value: 38 ÷ 9 = 4.222222
  3. Multiply by 100: 422.2222%

Why the change back is different

A 54.7619% rise followed by a 54.7619% fall does not bring you back to 42: it gives 29.4048. The second percentage is taken of 65, not of 42, so to undo this change you need 35.3846% 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 42 to 65
  • What percent more is 65 than 42?
  • 42 to 65 as a percent change
  • How much did 42 grow going to 65, in percent?
  • Relative change between 42 and 65

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

Change54.7619%
Difference23
New ÷ old1.547619
Directionincrease

Related results

42 to 63

From 42 to 63 is a 50% increase

42 to 64

From 42 to 64 is a 52.381% increase

42 to 66

From 42 to 66 is a 57.1429% increase

42 to 67

From 42 to 67 is a 59.5238% increase

42 to 75

From 42 to 75 is a 78.5714% increase

The other way round: Percentage difference from 65 to 42

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(65-42)/42*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

9 to 47
Show answer

From 9 to 47 is a 422.2222% increase

62 to 11
Show answer

From 62 to 11 is a 82.2581% decrease

41 to 80
Show answer

From 41 to 80 is a 95.122% increase

77 to 30
Show answer

From 77 to 30 is a 61.039% decrease

74 to 56
Show answer

From 74 to 56 is a 24.3243% decrease

60 to 20
Show answer

From 60 to 20 is a 66.6667% decrease

26 to 44
Show answer

From 26 to 44 is a 69.2308% increase

65 to 5
Show answer

From 65 to 5 is a 92.3077% decrease

75 to 54
Show answer

From 75 to 54 is a 28% decrease

5 to 33
Show answer

From 5 to 33 is a 560% increase

Calculate another

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 42 to 65?

Going from 42 to 65 is a 54.7619% increase. Formula and steps.

Is going from 42 to 65 an increase or a decrease?

An increase: the value grew by 23, which is 54.7619% of the starting value.

What is the percentage change from 65 back to 42?

-35.3846%. It is a different number because the starting value is now 65, not 42.

What is the percentage difference between 42 and 65?

When neither value is the starting point, use the average as the base: 23 ÷ 53.5 × 100 = 42.9907%. 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 54.7619%.