192 is what percent of 600?

2 Answers
Nov 30, 2017

#32%#

Explanation:

Make 192 a fraction of 600 and then multiply by 100 to have a percentage.

#192/600 * 100= 32%#

192 is #32%# of 600.

Nov 30, 2017

See a solution process below:

Explanation:

First, lets call the percent we are looking for "p".

"Percent" or "%" means "out of 100" or "per 100", Therefore p% can be written as #p/100#.

When dealing with percents the word "of" means "times" or "to multiply".

Putting this altogether we can write this equation and solve for #p# while keeping the equation balanced:

#192 = p/100 xx 600#

#color(red)(100)/color(blue)(600) xx 192 = color(red)(100)/color(blue)(600) xx p/100 xx 600#

#19200/color(blue)(600) = cancel(color(red)(100))/cancel(color(blue)(600)) xx p/color(red)(cancel(color(black)(100))) xx color(blue)(cancel(color(black)(600)))#

#32 = p#

#p = 32#

192 is #color(red)(32%)# of 600