How do you find each percent of change when 12 is decreased to 48?

  1. List item

1 Answer
Apr 2, 2017

Answer:

#325%# of the original value
#81.25%# of the new value

Explanation:

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

Let the unknown value be #x#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("As a percentage of the original value")#

#12->48 => (48-12)/12=x/100#

#x=39/12xx100 = 325#

So we have: #325/100->325xx1/100->325xx%=325%#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("As a percentage of the new value")#

#12->48=>(48-12)/48=x/100#

#x=39/48xx100= 81.25#

So we have: #81.25/100->81.25xx1/100->81.25xx%=81.25%#