What percent of 132 is 105?

2 Answers
Jul 31, 2016

Answer:

#x= 79 6/11 % # as an exact value

#x~~79.54bar(54)%#

Explanation:

Write this as #105/132#

Let the unknown percent be #x%#

This can be written as #x/100#

So we need to change #105/132# to #x/100#

It is amazing how often ratios turn up!

So equate one to the other giving:

#105/132=x/100#

Technically we should write #105/132-=x/100# but people don't!

Multiply both sides by 100

#(100xx105)/132 = x xx 100/100#

# 79 6/11 % = x# as an exact value

#x~~79.54bar(54)# The bar means those number repeat for ever!

Jul 31, 2016

Answer:

I found: #79.54%#

Explanation:

We can solve this using equlity of fractions between numbers and percentages as:
#(100%)/(x%)=132/105#
Rea┼Ľanging:
#x%=105/132*100%=79.54%#