77 is what percent of 192?

3 Answers

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

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

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.