Ok - these always need a little bit of a review to make sure we\"re comment the appropriate thing.

You are watching: 5 is what percent of 25

\"What percent...\" asks us for a percentage. Ok - good.

\"...of 25...\" asks us to take the number (25) and also multiply it by the portion we\"re going to find.

\"...is 5\" tells us what the price we\"re trying to find is. So us have:

#25xxP=5# - 25 times some percentage equals 5.

We deserve to treat P as a variable and so have the right to divide both political parties by 25:

#P=5/25=1/5=0.2=20%# Percent have the right to be written as: #(\"some number\")/100#

For instance 3% would certainly be #3/100#\"~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Write the offered values in the question as a portion

#\" \"5/25##color(white)()#

But percent is #(\"something\")/100# for this reason we require to readjust the 25 in #5/25# right into 100.

#color(white)()#

Multiply by 1 and you execute not change the intrinsic value. However, 1 come in plenty of forms.

#color(white)()#

Multiply #5/25# through 1 yet in the form of #1=4/4# giving:

#\" \"5/25color(magenta)(xx1)\" \" =\" \" 5/25color(magenta)(xx4/4)\" \"=\" \"20/100#

#color(white)()#

#color(blue)(\"So \"5/25\" may be written as \"20%#

EZ together pi
Oct 4, 2016

#2/25 =1/5= 0.2 =20%#

Explanation:

It might aid to write the question a small differently.

What percent is #5 \" out of \" 25#?

#5/25 = 1/5# currently represents the decimal #0.2#.

However to obtain it into percentage format, multiply by #100%.#

Note that #xx 100% =xx 100/100 # i beg your pardon is the exact same as a multiplication through #1#, for this reason we do not change the value, only what the looks like.

#5/25 xx100%#

#=20%#

Fractions, decimals and percent are all various ways of composing the exact same quantity and also they space inter-changeable.

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We could also change #5/25# into a portion with a denominator that #100#

#5/25 xx 4/4 = 20/100 = 20%# Diego Martínez Paz · EZ together pi ·
Jun 11, 2017

#20%#

Explanation:

Simplifying this straightforward calculation...

#5/25xx100% = 0.2xx100%=20%# Cri007
Jun 11, 2017

20%

Explanation:

#5/25=1/5=0.2=20%# 