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

Question

List item

1254 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-02T15:12:14

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

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%#