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How to Master the Percent of Change: Easy Guide For calculations
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Feb 19, 2025
Today, we're diving into a topic that's not only practical but also quite fascinating: the percent of change. Percent of change is all about understanding how much something has increased or decreased in comparison to its original value. It's a concept that's used everywhere, from business to personal finance, and even in your favorite hobby. Chapters 00:00 Introduction 00:29 Purpose of Section 00:55 Example 1 04:43 Converting from decimals to percentage 05:32 Example 2 09:12 Example 3
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0:01
all right so we're going to talk about
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uh percent of change okay and percent of
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change what do I mean by percent of
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change is basically by
0:14
definition is the amount of change over
0:17
the original amount right and what am I
0:20
saying let's say I went from like uh
0:24
let's say somebody get went from getting
0:26
like $15 an hour to like $20
0:30
now and and the question is what's the
0:33
percent of change in his early rate how
0:35
would you find that that's what we're
0:36
going to discuss in this chat in this
0:38
chapter right percent of change is
0:40
basically going from a certain amount to
0:42
a different amount either by increase or
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by decrease but you want to know what
0:47
does that represent in terms of
0:48
percentage that's what we're going to
0:49
discuss okay so the first example I'm
0:53
going to use sneakers as you know I'm a
0:56
sneaker collector so um
1:00
assume the price of the New Balance 574
1:03
which I love by the way went from
1:06
$90 right but was reduced to like $75 a
1:09
month no a month after it release date
1:13
so it was released maybe like in
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September and by October the store is
1:17
having problem like selling it so they
1:19
go hey we going to go from like $90 to
1:21
like
1:22
$75 so the question is what is the
1:24
percent of
1:25
decrease right meaning what's what does
1:29
this represent In terms terms of
1:31
percentage what was the rate at which
1:34
the store decreased the price that's
1:36
what I want to know so how would you do
1:37
it based on this formula is the amount
1:39
of change over the original amount so
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how would you do
1:45
this and is this a decrease or an
1:49
increase
1:51
maybe is it an increase or a
1:54
decrease decrease decrease you went from
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90 to
1:58
75 right
2:01
so so first you need to find the amount
2:03
of change right the
2:06
amount of
2:09
change so how do I find it g h how do I
2:13
find the amount of change what is it
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today is the
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third but how do I find the amount of
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change the formula is the amount of
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change about the original amount right
2:26
so so what's the amount of
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change uh $15 $15 how' you get
2:32
that 90 - 75 90 - 75 right so the amount
2:37
of change is 90 - 75 so the thing went
2:40
down by $15 right so we need to find the
2:43
amount of change first and now know this
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amount we're going to divide it to find
2:48
the uh the percent of
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change the percent of change is
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basically 15
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over uh no it's the amount of change
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amount of
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change over OG amount I'm going call it
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OG right
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original so amount of change for the
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original amount in our case Brent what's
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that going to be 15 over
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what 15
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over 90 90 right 15 90 so the percent of
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change p is going to be
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$15 over 90 right remember we keep keep
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something in mind so $15 over 90
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right and we once we get the answer
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we're going to we going to want to get
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that answer in percentages but first we
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need to find out can
3:52
I yep
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is H
4:02
same too much ball this weekend yeah I
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play a lot this
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weekend actually I did a
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lot
4:14
yeah
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tennis
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really so guess what I got I got 0.1 666
4:30
right like this so we can run it to like
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uh
4:35
17% yeah we can but if let's so how do
4:38
you go from that to like a percentage
4:40
how do you uh convert something percent
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that's decimal we did that last week
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multiply times 100 thank you very much
4:46
multiply by 100 right so it's 16 or
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1666 like this per right and then Jack
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if you want to run the nearest percent
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it's going to be 17% or you can say 16
5:00
67% either one of those is fine it all
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depends on how the question is asking
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what the question is asking so that
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means the percent of decrease is 17%
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right the store decreased the price by
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177% doeses that make sense so the
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decrease the price by 70% so the percent
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of decrease or the percent of change in
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this case is
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177% all right now the next problem
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let's see if I can you can read my
5:30
right I can't I don't
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I
5:43
yeah
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undefeated in an undefeated season a
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football team saw their season
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attendance increase from 10,000 FS to
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the previous year to like 250,000 P
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right bro why you have to write some
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many words so what percent the
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attendance increase so you guys trying
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to work on this so I want you all to
6:02
work on individually and tell me what
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you got so they went from like 10,000
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attendees to
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250,000 that would be new life socer
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team that's not that
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funny that
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funny oh
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sorry my apologies this going to be new
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life is it going to like explode yeah I
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a big school at
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ml teams get that many
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people seriously there's never been high
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school with 250,000
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people it could be if you have like a
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like like state championships
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M like I'm sure football like when we
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won state championships we got like
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three three new
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people all right so let's find this tell
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me how you guys solve this problem so
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you went from 10,000 fans to 250,000
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fans so I want to know the percent off
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change
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wa it went from 10,000 to 250
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mhm
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mhm then tell me what's the percent of
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change based on the formula is the
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amount of change over the original
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amount
7:25
[Music]
7:38
I don't think I did it right oh well I
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want to know the number you got what did
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you get do you times it by 100 once you
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get the number yeah you have to times
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spare 100 to convert it into a
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percentage so what did you get uh
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2,400
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2,400 I think I did it oh tell me how
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you did it that's what I want to know um
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first find the amount of change what's
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the amount of change uh 240,000 okay the
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amount of Change divid by 10,000 what's
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the original amount yeah so you did 24
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mhm that I think you you did it right
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250,000 minus 10,000 right the amount of
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change and that giv you 240,000 and you
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divide this by what 10,000 right so then
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what did you
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get 24 24 times that by 100 100 so that
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gives you what
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2,400 per. so the increase was 2, 400%
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now the reason why you didn't believe
8:40
what you guys because you felt like I
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was just overgrown but that's that's
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true because they went up by
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24,000 more people that came and watch
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the game so it's
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2,400 does that make sense yeah right
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because sometimes people think that
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percentages have to be less than one it
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could be like this 2,400 that's fine
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that's perfectly fine
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okay so now we going to do something
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reverse so the
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planners see if you can read my handw
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right this time the planners of for a
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community event right for a community
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event
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Community
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event uh
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expect a
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decrease of
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30% from the previous
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year
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when when what um
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just stop reading it
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out for real what
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happened oh sorry yeah come
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on sorry
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sorry there's no way that's real I'm
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telling you all right so basically
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um so they're saying this right
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the planners for a community event
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expect a decrease of 30% from the
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previous year when 5600 people
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attended how many people do they expect
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now that's that's a tricky question
10:45
right read it again so the planners for
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Community event expect a decrease of 30%
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from the previous year when 500 5,600
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people attended how many people do they
11:00
expect oh I got the answer all right so
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tell me how you did it wait hold on I'm
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not
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that's
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right do you have to decrease
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wait so is the number you get the amount
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of change the number you get think about
12:06
it for a second what's what does 30%
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represent the
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percentage the percent of what change
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the percent of change right what do we
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know yeah you got what do we
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know uh 5,600 people came okay 5 she say
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people came
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right okay and then what
12:37
[Music]
12:39
else
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yeah I don't think I did it
12:45
right all right what did you get I want
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to know what you got what's your
12:49
number for amount change yeah how many
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people do we expect ja what' you get
12:54
Jack I got
12:56
3,920 that's correct 3,9 20 now show me
13:00
how you got that okay um
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mhm I did there's at least three ways to
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solve this problem I did I did 5,600
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time. 33 that represent what that will
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give you the rate of change rate of
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change I mean it'll give you like the
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decrease of people the decrease of
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people the L of people that are not
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going to show up exactly right which is
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which is 1680 1680 so that is the amount
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of
13:30
[Music]
13:35
people that are not
13:41
coming and then how do you find the
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number of people that are coming obvious
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and then you minus that by by the first
13:48
number right now let's say you wanted to
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be more like okay I want to use the the
13:53
formula that we've learn right you can
13:55
do both ways this is more common sense
13:57
right you could have also done it this
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way
14:00
you could have say
14:01
that30 that's the% of change correct
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right is equal to
14:07
5600 - x over
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5600 like
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this amount of change over what original
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amount does that make sense and then you
14:21
you use what the cross multiplication
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right you times this by that 5600 times
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that you got 1680 right =
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5600 - x and then subtract the 5600 here
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subtracting 5600 you get 30-
14:41
3920 = X and then to solve for x just
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divide
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by1 and then you get the 3920 there's
14:49
multiple ways to solve this problem okay
14:51
you could do it the way Jack did it or
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you can stick to the formula that's fine
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I just want you to get what's going on
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here and I like what said about the
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amount of people that are not coming
15:01
that's great that's a great observation
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this is how you solve this by
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identifying what does this number
15:06
represent does that make sense G yeah
15:09
all
15:09
right all right so now what I want you
15:12
all to do is we're going to work on the
15:14
uh problems in the
15:15
book and that's going to we going
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