What percent of 132 is 105?

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Answer 1 · 2016-07-31T21:26:50

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

#x~~79.54bar(54)%#

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!

Answer 2 · 2016-07-31T21:27:16

I found: #79.54%#

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