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What is the Percentage Difference from 48 to 66?

From 48 to 66 is a 37.5% increase

Step by step

  1. Difference: 66 − 48 = 18
  2. Divide by the starting value: 18 ÷ 48 = 0.375
  3. Multiply by 100: 37.5%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 48 to 66, a difference of 18. Compared with the starting value of 48, that difference is 37.5%, so this is a 37.5% increase.

The new value is 1.375 times the old one: for every 100 at the start there are now 137.5.

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 $48 to $66 has gone up by 37.5%.
  • Pay: a wage that rises from $48 to $66 an hour is a 37.5% pay rise.
  • Audiences: a channel that grows from 48 to 66 subscribers has grown by 37.5%.

A quicker way

Find 1% of the starting value: 48 ÷ 100 = 0.48. The difference of 18 is 37.5 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 48% to 66%, it changes by 18 percentage points, but by 37.5% relative to where it started.

Check the answer

Work forwards from the start: 48 × (1 + 0.375) = 48 × 1.375 = 66. Getting 66 shows the answer is right.

Rounding

Rounded to a whole number the change is 38, to one decimal place 37.5 and to two decimal places 37.50. 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: 10 to 48

  1. Difference: 48 − 10 = 38
  2. Divide by the starting value: 38 ÷ 10 = 3.8
  3. Multiply by 100: 380%

Why the change back is different

A 37.5% rise followed by a 37.5% fall does not bring you back to 48: it gives 41.25. The second percentage is taken of 66, not of 48, so to undo this change you need 27.2727% 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 48 to 66
  • What percent more is 66 than 48?
  • 48 to 66 as a percent change
  • How much did 48 grow going to 66, in percent?
  • Relative change between 48 and 66

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

Change37.5%
Difference18
New ÷ old1.375
Directionincrease

Related results

48 to 64

From 48 to 64 is a 33.3333% increase

48 to 65

From 48 to 65 is a 35.4167% increase

48 to 67

From 48 to 67 is a 39.5833% increase

48 to 68

From 48 to 68 is a 41.6667% increase

48 to 76

From 48 to 76 is a 58.3333% increase

The other way round: Percentage difference from 66 to 48

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(66-48)/48*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

10 to 48
Show answer

From 10 to 48 is a 380% increase

10 to 45
Show answer

From 10 to 45 is a 350% increase

24 to 15
Show answer

From 24 to 15 is a 37.5% decrease

89 to 7
Show answer

From 89 to 7 is a 92.1348% decrease

26 to 69
Show answer

From 26 to 69 is a 165.3846% increase

4 to 78
Show answer

From 4 to 78 is a 1,850% increase

68 to 45
Show answer

From 68 to 45 is a 33.8235% decrease

8 to 34
Show answer

From 8 to 34 is a 325% increase

9 to 71
Show answer

From 9 to 71 is a 688.8889% increase

64 to 38
Show answer

From 64 to 38 is a 40.625% decrease

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 48 to 66?

Going from 48 to 66 is a 37.5% increase. Formula and steps.

Is going from 48 to 66 an increase or a decrease?

An increase: the value grew by 18, which is 37.5% of the starting value.

What is the percentage change from 66 back to 48?

-27.2727%. It is a different number because the starting value is now 66, not 48.

What is the percentage difference between 48 and 66?

When neither value is the starting point, use the average as the base: 18 ÷ 57 × 100 = 31.5789%. 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 37.5%.