What percent of 7.2 is 45?

2 Answers
Jun 30, 2018

Answer:

625%

Explanation:

Let the unknown percentage be #x# giving:

#x%xx7.2=45#

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

#color(green)(color(red)(x%)xx7.2=45 color(white)("d") ->color(white)("d")[color(red)(x xx1/100)]xx7.2=45)#

#color(white)("ddddddddddddd")->color(white)("dddd")color(green)(color(red)(x/100)color(white)("ddd")xx7.2=45)#

Divide both sides by #7.2# ('gets rid' of it from the left)

#x/100=45/7.2#

Multiply both sides by 100 ('gets rid' of it from the left)

#x=100xx45/7.2#

#x = 625#

But this id the numerator of a percentage so we have:

#625/100color(white)("d")->color(white)("d")625color(white)("d.")ubrace(xx1/100)#
#color(white)("dddddddddddd.dd")darr#

#color(white)("dddd")->color(white)("d")625 color(white)("ddd.")%#

#625%#

Jun 30, 2018

Answer:

#625#

Explanation:

#7.2/100*x=45#

#x=45*100/7.2=4500/7.2=45000/72=5000/8=625#