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What is the Percentage Difference from 48 to 73?

From 48 to 73 is a 52.0833% increase

Step by step

  1. Difference: 73 − 48 = 25
  2. Divide by the starting value: 25 ÷ 48 = 0.520833
  3. Multiply by 100: 52.0833%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 48 to 73, a difference of 25. Compared with the starting value of 48, that difference is 52.0833%, so this is a 52.0833% increase.

The new value is 1.5208 times the old one: for every 100 at the start there are now 152.0833.

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 $73 has gone up by 52.0833%.
  • Pay: a wage that rises from $48 to $73 an hour is a 52.0833% pay rise.
  • Audiences: a channel that grows from 48 to 73 subscribers has grown by 52.0833%.

A quicker way

Find 1% of the starting value: 48 ÷ 100 = 0.48. The difference of 25 is 52.0833 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 48% to 73%, it changes by 25 percentage points, but by 52.0833% relative to where it started.

Check the answer

Work forwards from the start: 48 × (1 + 0.520833) = 48 × 1.520833 = 73. Getting 73 shows the answer is right.

Rounding

Rounded to a whole number the change is 52, to one decimal place 52.1 and to two decimal places 52.08. 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 34

  1. Difference: 34 − 10 = 24
  2. Divide by the starting value: 24 ÷ 10 = 2.4
  3. Multiply by 100: 240%

Why the change back is different

A 52.0833% rise followed by a 52.0833% fall does not bring you back to 48: it gives 34.9792. The second percentage is taken of 73, not of 48, so to undo this change you need 34.2466% 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 73
  • What percent more is 73 than 48?
  • 48 to 73 as a percent change
  • How much did 48 grow going to 73, in percent?
  • Relative change between 48 and 73

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

Change52.0833%
Difference25
New ÷ old1.520833
Directionincrease

Related results

48 to 71

From 48 to 71 is a 47.9167% increase

48 to 72

From 48 to 72 is a 50% increase

48 to 74

From 48 to 74 is a 54.1667% increase

48 to 75

From 48 to 75 is a 56.25% increase

48 to 83

From 48 to 83 is a 72.9167% increase

The other way round: Percentage difference from 73 to 48

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(73-48)/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 34
Show answer

From 10 to 34 is a 240% increase

5 to 56
Show answer

From 5 to 56 is a 1,020% increase

36 to 40
Show answer

From 36 to 40 is a 11.1111% increase

81 to 59
Show answer

From 81 to 59 is a 27.1605% decrease

74 to 25
Show answer

From 74 to 25 is a 66.2162% decrease

76 to 50
Show answer

From 76 to 50 is a 34.2105% decrease

83 to 8
Show answer

From 83 to 8 is a 90.3614% decrease

92 to 56
Show answer

From 92 to 56 is a 39.1304% decrease

84 to 69
Show answer

From 84 to 69 is a 17.8571% decrease

18 to 26
Show answer

From 18 to 26 is a 44.4444% 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 48 to 73?

Going from 48 to 73 is a 52.0833% increase. Formula and steps.

Is going from 48 to 73 an increase or a decrease?

An increase: the value grew by 25, which is 52.0833% of the starting value.

What is the percentage change from 73 back to 48?

-34.2466%. It is a different number because the starting value is now 73, not 48.

What is the percentage difference between 48 and 73?

When neither value is the starting point, use the average as the base: 25 ÷ 60.5 × 100 = 41.3223%. 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 52.0833%.