What percent of 900 is 792?

3 Answers
Nov 10, 2016

#88%#

Explanation:

Write a fraction first then #xx 100%#

#792/900 xx 100%#

#792/cancel900^9 xx cancel100%#

#=88%#

Nov 10, 2016

Just another approach

#88%#

Explanation:

#color(blue)("Some thoughts about percentage")#

Note that % is a unit of measurement that is worth #1/100#
So when you see "what percent" you know they are looking for something over 100.

Note that percentage is just another way of writing a fraction. The only difference is that the denominator is fixed at 100.

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#color(blue)("Solving your question")#

Write the given values as a fraction giving:

#792/900#

So we need to change this into #("Some number")/(100)#

To change 900 into 100 divide it by 9.

To maintain the same ratio of the fraction, for multiply and or divide, what we do to the bottom we do to the top.

#=>792/900-=(792-:9)/(900-:9) = 88/100#

Write this as #" "88xx1/100#

Treat the #1/100# as unit of measurement represented by % giving:

#88%#

Nov 10, 2016

88 %

Explanation:

We know that percent means unit per 100
so if 792 is a unit of 900
so what percent it will be at 100

So #792*100/900=88%#