# What percent of 132 is 105?

##### 2 Answers
Jul 31, 2016

x= 79 6/11 %  as an exact value

x~~79.54bar(54)%

#### Explanation:

Write this as $\frac{105}{132}$

Let the unknown percent be x%

This can be written as $\frac{x}{100}$

So we need to change $\frac{105}{132}$ to $\frac{x}{100}$

It is amazing how often ratios turn up!

So equate one to the other giving:

$\frac{105}{132} = \frac{x}{100}$

Technically we should write $\frac{105}{132} \equiv \frac{x}{100}$ but people don't!

Multiply both sides by 100

$\frac{100 \times 105}{132} = x \times \frac{100}{100}$

 79 6/11 % = x as an exact value

$x \approx 79.54 \overline{54}$ The bar means those number repeat for ever!

Jul 31, 2016

I found: 79.54%

#### Explanation:

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