or #cancel45^1/cancel100^1xxcancel100^1/cancel45^1xx"Number"=cancel36^4xx100/cancel45^5#

or #"Number"=(4xxcancel100^20)/(cancel5^1)#

or #"Number"=80#

You are watching: 36 is 0.8% of what number  Let the number be #x#

#45%# that #x=36#

#45%# that #x# can also be composed as #45% xx x#

#45/100 xx x=36#

#0.45x=36#

#x=36/0.45.#

#x=80#

check:

#:.45% xx 80#

#:.cancel45^9/cancel100^20 xx 80#

#:.9/cancel20^1 xx cancel80^4/1#

#:.9 xx 4=36# Percentage questions can always be done by a straight proportion method, i m sorry is the exact same as using identical fractions.

In this case we space told that 36 is #45%# the a particular number. The number chin would represent #100%#

If we use #x# because that the number, we have:

#36/45 = x/100" "larr# "If 36 is 45%, just how much is #100%?#"

#45x = 36xx100" "larr# cross multiply

#x = (36xx100)/45#

#x = 80#

This method is specifically useful v reverse percentages. Whenever i come across these kind of questions, I usage a formula. #x# will represent the number since we don"t know the number yet. Because that this case, the formula would certainly be, #x##cdot##45/100##=##36#.

The worth of #x# will be the answer. Therefore let"s start!

#x##cdot##45/100##=##36#

#x##=##36##cdot##100/45# (Leave #x# top top one side)

#x##=##cancel36^4/1##cdot##100/cancel45^5# (Multiply)

#x##=##400/5# (Simplify)

#x##=##80#

Did you know that in mathematics, of method #times# and/or #*#! so #45%# the #80# is,

#45/100##times##80#!

Let"s check if the price is correct!

#45/100##times##80/1#

#=##45/cancel100^5##times##cancel80^4/1#

#=##180/5#

#=##36#

I learned how to kind the multiplication authorize (dot) here! That"s one source, and my other source is mine brain!Now due to the fact that we confirm the answer, we know that #80# is correct!I hope the helps and also that you interpreted it!

All the best,Moksha :D 