# How to calculate percentage

# Finding a percentage

[mks_tabs nav=”horizontal”]

[mks_tab_item title=”Overview”]

Finding a percentage is a very necessary skill. It will come in handy in many situations from tipping to business.

Let’s take for example, the percentage of 4 in 16, in other words, what percent or fraction of 16 is 4. There are many ways to determine the answer for this.

1. First, write the given numbers:

4/16. If we get the LCD or round it off, we’ll have 1/4 , which is equal to 25%.

2. Second way to solve this is thru division.

4/16= 4⟌16 = 0.25

0.25 is the same thing as 25 hundredths or 25/100 which is equal to 25%.

Video by Khan Academy

[/mks_tab_item]

[mks_tab_item title=”Transcript”]

let’s give ourselves a little bit of

practice with percentages so let’s ask

ourselves what what percent percent of I

don’t know let’s say what percent of

sixteen is four and I encourage you to

pause this video and to try it out

yourself so when you’re saying what

percent of 16 is 4 percent is another

way of saying what fraction of 16 is 4

and what we just need to write it as a

percent as per 100 so if you said what

fraction of 4 is a what fraction of 16

is 4 you would say well look this is the

same thing as 4 sixteenths which is the

same thing as equal this is the same

thing as 1/4 but this is saying what

fraction 4 is a 16 you table 4 is 1/4 of

16 but it still doesn’t answer our

question what percent what percent so in

order to write this as a percent we

literally have to write it as something

over a hundred percent literally means

per sent the word cent you know from

cents and century it relates to the

number 100 so it’s per 100 so you could

say well this is going to be equal to

question mark over 100 the part of 100

and there’s a bunch of ways that you

could think about this you could say

well look if in the denominator to go

from 4 to 100 I have to multiply by 25

in the numerator to go from I need to

also multiply by 25 in order to have an

equivalent fraction so I’m also going to

multiply by 25 so 1/4 is the same thing

as 25 over 100 and another way of saying

25 over 100 is this is 25 per hundred or

25 percent so this is equal to 25

percent now there’s another couple of

other ways you could have thought about

it you could have said you could have

said well 4 over 16

this is literally 4 divided by 16 well

let me just do the division and convert

to a decimal which is very easily easy

to convert to a percentage so let’s try

to actually do this division right over

here so we’re going to literally divide

4 by 16 now 16 goes into 4 0 times 0 times

16 is 0 you subtract and you get a 4 and

we’re not satisfied just having this

remainder we want to keep adding zeros

to figure out what to to get a decimal

answer right over here so let’s put a

decimal right over here we’re going into

the tenths place and let’s throw some

zeros right over here the decimal will

make sure we keep track of the fact that

we are now in the tents and then the

hundredths and in the thousands place if

we have to go that far but let’s bring

another 0 down 16 goes into 40 goes into

40 2 times 2 times 16 is 32 you subtract

you get 8 and you could bring down

another 0 and we have 16 goes into 80

let’s see 16 goes into 80 5 times 5

times 16 is 80 you subtract you have no

remainder and you’re done

four sixteenths is the same thing as

0.25 now 0.25 is the same thing as 25

hundredths or this is the same thing as

25 over 100 which is the same thing as

25%.

[/mks_tab_item]

[/mks_tabs]

(Visited 1 times, 1 visits today)