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What is the Percentage Difference from 23 to 46?

From 23 to 46 is a 100% increase

Step by step

  1. Difference: 46 − 23 = 23
  2. Divide by the starting value: 23 ÷ 23 = 1
  3. Multiply by 100: 100%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 23 to 46, a difference of 23. Compared with the starting value of 23, that difference is 100%, so this is a 100% increase.

The new value is 2 times the old one: for every 100 at the start there are now 200. The value has more than doubled.

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 $23 to $46 has gone up by 100%.
  • Pay: a wage that rises from $23 to $46 an hour is a 100% pay rise.
  • Audiences: a channel that grows from 23 to 46 subscribers has grown by 100%.

A quicker way

Find 1% of the starting value: 23 ÷ 100 = 0.23. The difference of 23 is 100 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 23% to 46%, it changes by 23 percentage points, but by 100% relative to where it started.

Check the answer

Work forwards from the start: 23 × (1 + 1) = 23 × 2 = 46. Getting 46 shows the answer is right.

Rounding

Rounded to a whole number the change is 100, to one decimal place 100.0 and to two decimal places 100.00. 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: 5 to 79

  1. Difference: 79 − 5 = 74
  2. Divide by the starting value: 74 ÷ 5 = 14.8
  3. Multiply by 100: 1,480%

Why the change back is different

A 100% rise followed by a 100% fall does not bring you back to 23: it gives 0. The second percentage is taken of 46, not of 23, so to undo this change you need 50% 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 23 to 46
  • What percent more is 46 than 23?
  • 23 to 46 as a percent change
  • How much did 23 grow going to 46, in percent?
  • Relative change between 23 and 46

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

Change100%
Difference23
New ÷ old2
Directionincrease

Related results

23 to 44

From 23 to 44 is a 91.3043% increase

23 to 45

From 23 to 45 is a 95.6522% increase

23 to 47

From 23 to 47 is a 104.3478% increase

23 to 48

From 23 to 48 is a 108.6957% increase

23 to 56

From 23 to 56 is a 143.4783% increase

The other way round: Percentage difference from 46 to 23

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(46-23)/23*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

5 to 79
Show answer

From 5 to 79 is a 1,480% increase

29 to 17
Show answer

From 29 to 17 is a 41.3793% decrease

90 to 55
Show answer

From 90 to 55 is a 38.8889% decrease

89 to 36
Show answer

From 89 to 36 is a 59.5506% decrease

70 to 95
Show answer

From 70 to 95 is a 35.7143% increase

32 to 57
Show answer

From 32 to 57 is a 78.125% increase

46 to 64
Show answer

From 46 to 64 is a 39.1304% increase

89 to 7
Show answer

From 89 to 7 is a 92.1348% decrease

10 to 29
Show answer

From 10 to 29 is a 190% increase

70 to 14
Show answer

From 70 to 14 is a 80% 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 23 to 46?

Going from 23 to 46 is a 100% increase. Formula and steps.

Is going from 23 to 46 an increase or a decrease?

An increase: the value grew by 23, which is 100% of the starting value.

What is the percentage change from 46 back to 23?

-50%. It is a different number because the starting value is now 46, not 23.

What is the percentage difference between 23 and 46?

When neither value is the starting point, use the average as the base: 23 ÷ 34.5 × 100 = 66.6667%. 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 100%.