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What is the Percentage Difference from 50 to 49?

From 50 to 49 is a 2% decrease

Step by step

  1. Difference: 49 − 50 = -1
  2. Divide by the starting value: -1 ÷ 50 = -0.02
  3. Multiply by 100: -2%

How the answer is worked out

Percentage change measures a difference against the value you started with. The value went from 50 to 49, a difference of 1. Compared with the starting value of 50, that difference is 2%, so this is a 2% decrease.

The new value is 98% of the old one: for every 100 at the start there are now 98, so 2 out of every 100 have gone.

Why calculate this?

Percentage change compares a new value with an old one regardless of size: price rises, growth, discounts, score changes.

  • Sales: a price cut from $50 to $49 is a 2% discount.
  • Weight: going from 50 to 49 kilograms is a loss of 2% of the starting weight.
  • Results: if a team scores 49 points this season after 50 last season, its total has dropped by 2%.

A quicker way

Find 1% of the starting value: 50 ÷ 100 = 0.5. The difference of 1 is 2 of those steps.

Percentage change is not the same as percentage points. If a rate moves from 50% to 49%, it changes by 1 percentage points, but by 2% relative to where it started.

Check the answer

Work forwards from the start: 50 × (1 − 0.02) = 50 × 0.98 = 49. Getting 49 shows the answer is right.

Rounding

Rounded to a whole number the change is -2, to one decimal place -2.0 and to two decimal places -2.00. 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: 10 to 80

  1. Difference: 80 − 10 = 70
  2. Divide by the starting value: 70 ÷ 10 = 7
  3. Multiply by 100: 700%

Why the change back is different

A 2% fall followed by a 2% rise does not bring you back to 50: it gives 49.98. The second percentage is taken of 49, not of 50, so to undo this change you need 2.0408% instead.

Other ways to ask this

The same calculation is often asked in other words. All of these have the answer above:

  • Percentage decrease from 50 to 49
  • What percent less is 49 than 50?
  • 50 to 49 as a percent change
  • How much did 50 fall going to 49, in percent?
  • Relative change between 50 and 49

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

Change-2%
Difference-1
New ÷ old0.98
Directiondecrease

Related results

50 to 47

From 50 to 47 is a 6% decrease

50 to 48

From 50 to 48 is a 4% decrease

50 to 51

From 50 to 51 is a 2% increase

50 to 59

From 50 to 59 is a 18% increase

The other way round: Percentage difference from 49 to 50

Doing it in a spreadsheet

In Excel, Google Sheets or Numbers type =(49-50)/50*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 80
Show answer

From 10 to 80 is a 700% increase

89 to 13
Show answer

From 89 to 13 is a 85.3933% decrease

46 to 5
Show answer

From 46 to 5 is a 89.1304% decrease

22 to 70
Show answer

From 22 to 70 is a 218.1818% increase

65 to 61
Show answer

From 65 to 61 is a 6.1538% decrease

37 to 16
Show answer

From 37 to 16 is a 56.7568% decrease

46 to 73
Show answer

From 46 to 73 is a 58.6957% increase

4 to 77
Show answer

From 4 to 77 is a 1,825% increase

56 to 33
Show answer

From 56 to 33 is a 41.0714% decrease

13 to 64
Show answer

From 13 to 64 is a 392.3077% 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 50 to 49?

Going from 50 to 49 is a 2% decrease. Formula and steps.

Is going from 50 to 49 an increase or a decrease?

A decrease: the value fell by 1, which is 2% of the starting value.

What is the percentage change from 49 back to 50?

2.0408%. It is a different number because the starting value is now 49, not 50.

What is the percentage difference between 50 and 49?

When neither value is the starting point, use the average as the base: 1 ÷ 49.5 × 100 = 2.0202%. 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 -2%.