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What is the Percentage Difference from 33 to 48?

From 33 to 48 is a 45.4545% increase

Step by step

  1. Difference: 48 − 33 = 15
  2. Divide by the starting value: 15 ÷ 33 = 0.454545
  3. Multiply by 100: 45.4545%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 33 to 48, a difference of 15. Compared with the starting value of 33, that difference is 45.4545%, so this is a 45.4545% increase.

The new value is 1.4545 times the old one: for every 100 at the start there are now 145.4545.

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 $33 to $48 has gone up by 45.4545%.
  • Pay: a wage that rises from $33 to $48 an hour is a 45.4545% pay rise.
  • Audiences: a channel that grows from 33 to 48 subscribers has grown by 45.4545%.

A quicker way

Find 1% of the starting value: 33 ÷ 100 = 0.33. The difference of 15 is 45.4545 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 33% to 48%, it changes by 15 percentage points, but by 45.4545% relative to where it started.

Check the answer

Work forwards from the start: 33 × (1 + 0.454545) = 33 × 1.454545 = 48. Getting 48 shows the answer is right.

Rounding

Rounded to a whole number the change is 45, to one decimal place 45.5 and to two decimal places 45.45. 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: 7 to 62

  1. Difference: 62 − 7 = 55
  2. Divide by the starting value: 55 ÷ 7 = 7.857143
  3. Multiply by 100: 785.7143%

Why the change back is different

A 45.4545% rise followed by a 45.4545% fall does not bring you back to 33: it gives 26.1818. The second percentage is taken of 48, not of 33, so to undo this change you need 31.25% 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 33 to 48
  • What percent more is 48 than 33?
  • 33 to 48 as a percent change
  • How much did 33 grow going to 48, in percent?
  • Relative change between 33 and 48

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

Change45.4545%
Difference15
New ÷ old1.454545
Directionincrease

Related results

33 to 46

From 33 to 46 is a 39.3939% increase

33 to 47

From 33 to 47 is a 42.4242% increase

33 to 49

From 33 to 49 is a 48.4848% increase

33 to 50

From 33 to 50 is a 51.5152% increase

33 to 58

From 33 to 58 is a 75.7576% increase

The other way round: Percentage difference from 48 to 33

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(48-33)/33*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

7 to 62
Show answer

From 7 to 62 is a 785.7143% increase

51 to 98
Show answer

From 51 to 98 is a 92.1569% increase

79 to 32
Show answer

From 79 to 32 is a 59.4937% decrease

83 to 94
Show answer

From 83 to 94 is a 13.253% increase

95 to 90
Show answer

From 95 to 90 is a 5.2632% decrease

74 to 43
Show answer

From 74 to 43 is a 41.8919% decrease

89 to 78
Show answer

From 89 to 78 is a 12.3596% decrease

66 to 41
Show answer

From 66 to 41 is a 37.8788% decrease

10 to 69
Show answer

From 10 to 69 is a 590% increase

56 to 93
Show answer

From 56 to 93 is a 66.0714% 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 33 to 48?

Going from 33 to 48 is a 45.4545% increase. Formula and steps.

Is going from 33 to 48 an increase or a decrease?

An increase: the value grew by 15, which is 45.4545% of the starting value.

What is the percentage change from 48 back to 33?

-31.25%. It is a different number because the starting value is now 48, not 33.

What is the percentage difference between 33 and 48?

When neither value is the starting point, use the average as the base: 15 ÷ 40.5 × 100 = 37.037%. 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 45.4545%.