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:
$x%=105/132*100%=79.54%$