77 is what percent of 192?

3 Answers

Answer:

Approximately 40%

Explanation:

#77/192 xx 100#

77 multiplied by 192 (total number) and then multiplied by 100 to get a percentage!

May 17, 2018

Answer:

40.104% to 3 decimal place

Explanation:

From the formula of percentage:
#"Part"/"Whole"xx100=%#

just substitute

#77/192xx100 = 40.104%#

77 is 40.104% of 192

May 17, 2018

Answer:

A slightly different approach and teaching where things come from.

#40.105%# rounded to 3 decimal places

Explanation:

Using ratio

This where the shortcut of divide by the denominator and multiply by 100 comes from.

As a fraction of the whole we have: #77/192 #

Let the unknown value be #x#

The objective is to end up with #x/100#

Treat #77/192# as a ratio. To maintain the proportionality, for multiply and divide, what we do to the bottom we also do to the top.

To change denominator of 192 into 100 we use #192xx100/192#

Multiply top and bottom by #100/192# giving:

#(color(red)(77xx100/192))/(192xx100/192) = (40.104166......)/100#

#ubrace((40.104166......)) color(white)("d") ubrace(xx1/100)#
#color(white)("ddddd") darr color(white)("dddddddd")darr#
#color(white)("ddd")40.105color(white)("ddddddd")%#

#40.105%# rounded to 3 decimal places
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("The shortcut")#

#color(red)(77xx100/192 color(white)("dd")->color(white)("dd") 77/192xx100)larr" This is the "x" from "x/100#

As the #xx1/100# bit is understood to exist they put the % on the end to represent it.