What percent of 50 is 20?

What p

1 Answer
Apr 22, 2017

#40%#

Explanation:

Percent is basically a fraction but one where the bottom number (denominator) is fixed at 100.

Let the unknown value be #x#

Then we have:

#20/50-=x/100#

Where #-=# means equivalent to

To get #x# on its own multiply both sides by #color(red)(100)#

#color(green)(20/50color(red)(xx100)" "=" "x/100color(red)(xx100)#

#color(green)(20xx(color(red)(100))/50" "=" "x xx(color(red)(100))/100) #

But #100/50=2 and 100/100=1# giving

#20xx2=x xx1#

#40" "=" "x#

So the recent in fraction format is #40/100#

In normal written format it is #40%#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Additional comment")#

The symbol % is like a unit of measurement but one that is worth #1/100#

So #40%->40xx%->40xx1/100=40/100#