Question

Question #6b526

Answer 1

`55.05/362.48~~15.19%` to 2 decimal places

Explanation:

Percentage is a fraction but one were the denominator is always 100

The % symbol is a bit like a unit of measurement but one that is worth `1/100` . So, as an example:

`30% ->30xx%->30xx1/100=30/100`
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Let the unknown number be `x`

As percentage is a fraction it makes sense to present the number in the question as a fraction as well. So we have: `55.05/362.48`

As we need to convert this to percentage we have:

`55.05/362.48 = ("some number")/100 = x/100`

`55.05/362.48 = x/100`

Multiply both sides by `color(red)(100)`

`color(green)(55.05/362.48color(red)(xx100)" " =" " x/100color(red)(xx100))`

`color(green)(55.05/362.48color(red)(xx100)" " =" " x xxcolor(red)(100)/100)`

But `100/100=1` giving

`color(green)(55.05/362.48color(red)(xx100)" " =" " x)`

`x=15.1870.....` The dots indicates that the digits continue on
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But this is `x/100-> x xx1/100 -> x%`

so we write

`55.05/362.48~~15.19%` to 2 decimal places

The `~~` means 'approximately equal to'