Question #d6786

fraction to percent:
`a/b\rArr(a\divb)\times100`

`\therefore43/25\rArr(43\div25)\times100`
`=1.72\times100=172%`

`color(blue)("Preamble")`

Percentage is just a fraction but a special one. What makes it special is that the bottom number (denominator) is always 100

Suppose we had some unknown value that I will call `x`

Then `x/100` is a percentage and is the same as `x%`

Where does the % come in? Think of it as a unit of measurement but one that is worth `1/100`

So `x%` is the same as `x xx1/100->x/100 -> x%`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Answering your question")`

Given:`" "43/25`

To convert this to a percentage we need to change the bottom number into 100. Multiply a number by 1 and you do not change the value. However, 1 comes in many forms so you can change the way a number looks without changing its value.

`color(green)(43/25color(red)(xx1)" "=" "43/25color(red)(xx4/4)" "=" "(43color(red)(xx4))/(25color(red)(xx4))`

`" "=" "172/100`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`172xx1/100->172%`