Percent change vs. percent difference

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SUMMARY

The discussion clarifies the distinction between percent change and percent difference, emphasizing that percent change refers to the relative change from an initial value, while percent difference is the absolute difference between two values divided by their average. Participants highlighted the importance of precise language, suggesting that terms like "percentage increase" or "percentage decrease" should be used to avoid confusion. For example, a change from 50 to 100 represents a 100% increase, whereas the percent difference between 50 and 100 is 66.7%. Clear communication is essential to prevent misunderstandings in practical applications.

PREREQUISITES
  • Understanding of basic mathematical concepts
  • Familiarity with percentage calculations
  • Knowledge of symbolic notation in mathematics
  • Ability to interpret changes in numerical data
NEXT STEPS
  • Research the mathematical formulas for calculating percent change and percent difference
  • Explore examples of real-world applications of percent change in finance
  • Learn about common misconceptions surrounding percentage calculations
  • Study how to effectively communicate statistical changes in various contexts
USEFUL FOR

Students, educators, data analysts, and professionals in fields requiring precise numerical communication will benefit from this discussion, particularly those dealing with statistical analysis and reporting.

i_love_science
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What is the difference between percent change and percent difference? When would you use one over the other? Thanks.
 
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i_love_science said:
What is the difference between percent change and percent difference? When would you use one over the other? Thanks.
Have you done any research on this? It's pretty easy to do it yourself.
 
You choose depending how specific you want to be in discussing or stating the change. If you want to avoid confusion, speak in terms of percentage increate or percentage decrease.
 
symbolipoint said:
You choose depending how specific you want to be in discussing or stating the change. If you want to avoid confusion, speak in terms of percentage increate or percentage decrease.
That's not what the internet says. You are talking about % change, for which I agree w/ you, BUT ...
Percent Difference is the difference between two values divided by the average of the two values shown as a percentage.
which is not the same thing.
 
phinds said:
That's not what the internet says. You are talking about % change, for which I agree w/ you, BUT ...
which is not the same thing.
That shows you why I like to look for more precise language in discussing percent change or percent difference. Or at least show in symbolized form what is meant, to help cut through any troubles with language.
 
symbolipoint said:
That shows you why I like to look for more precise language in discussing percent change or percent difference. Or at least show in symbolized form what is meant, to help cut through any troubles with language.
But all you said was
symbolipoint said:
speak in terms of percentage increate or percentage decrease.
Which does not describe percent difference at all, that was my point.
 
i_love_science said:
What is the difference between percent change and percent difference? When would you use one over the other? Thanks.
@i_love_science, as @symbolipoint suggested, MATH (symbolic notation) is the best way to precisely describe things.

If something goes from 50 to 100, that's a percentage increase of 100%.

If something goes from 100 to 50, that's a 50% decrease

The percentage difference between 50 and 100 is 66.7%

SO ... you don't "use one over the other", you use the ONE that is correct for what you are describing.
 
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In practice, you will often find some confusion in how people use percentages to evaluate change. This is where it's important to clearly communicate. Percentage is really just a fraction of some sort, The rest is, unfortunately, dependent on human language. It is fashionable in lectures to define these things, but out in the real world it's a mess; people do it in all sorts of ways. You really just need to ask them, read an equation, or, if you are the source, tell people what you mean.
 
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phinds said:
But all you said was

Which does not describe percent difference at all, that was my point.
and this part was left out of the quote, so needed to include
If something goes from 50 to 100, that's a percentage increase of 100%.

If something goes from 100 to 50, that's a 50% decrease

The percentage difference between 50 and 100 is 66.7%

Percent Change is not clear unless the number from which the change happened is known, given, or assumed, or if the assumption can clearly be understood.
 
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To avoid ambiguity when going from 5% to 10% you can always say "increased by 100%" or "increased by 5 percentage points", can't you?
 
  • #11
Borek said:
To avoid ambiguity when going from 5% to 10% you can always say "increased by 100%" or "increased by 5 percentage points", can't you?
You can, but I find that "increased by 5 percentage points" is confusing to some people. Non-STEM types tend to get confused by percentages (and often don't even realize that they ARE confused).
 
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