Using an example:
Suppose we had a big animal sanctuary for cats and dogs.
We had say 30 cats and 50 dogs
So by proportion we have:
color(blue)("Using format type 1")Using format type 1
"cats : dogs " ->30:50->3:5cats : dogs →30:50→3:5 as ratio (proportions)
But for 3:53:5 we have 3 parts in combination with 5 parts giving a proportion total of 3+5=83+5=8
Converting this to fractions and hence percentage
Cats
=3/(3+5)=3/8 -> 3/8xx100% =color(white)("ddd") 37.5%" of the whole"=33+5=38→38×100%=ddd37.5% of the whole
Dogs
=5/(3+5)=5/8->5/8xx100% = color(white)("ddd")ul(62.5%" of the whole"
color(white)("ddddddddddddddddd")"Added up "->100.0%" all of the whole"
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
color(blue)("Using format type 2 - Fraction format")
("cats")/("dogs") ->30/50 ->3/5 larr" This is NOT a fraction of the whole"
Again we have
("cats")/("cats + dogs")->3/(3+5)xx100% = 37.5%" of the whole"
("dogs")/("cats + dogs")->5/(3+5)xx100% =ul( 62.5%" of the whole")
color(white)("ddddddddddddddddddddddddddd")100.0%
