Question

What percent of 132 is 105?

Answer 1

`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!

Answer 2

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%`