Question

What is `3/50` as a percent?

Answer 1

`6%`

Explanation:

`3/50 xx 100%`

`=(0.06 xx 100)%`

`=6 %`

Answer 2

`3/50` as a percent is 6% and see below for the explanation (it's kinda different from Barney V.'s, though).

Explanation:

Percent means "out of hundred". For example, if we have 6%, it can also mean `6/100`.
Therefore, if we want to convert `3/50` to a percent, we need to change the denominator to a 100 by multiplying the denominator by 2.
But wait! Remember? Whatever you do to the bottom, has to be done to the top. So we need to multiply 3 by 2, too.
Lets just start now! Shall we?

`3times2=6` and `50times2=100`

So,

`3/50=6/100`

We have our 100 now! And `6/100` as a percent is, `6%`!

My source is my mind!
I hope that helps you!

Answer 3

6%

Explanation:

`color(blue)("The teaching bit")`

Just as `3/50` is a fraction so is percentage. The difference being that the bottom number (denominator) is ALWAYS fixed at 100.

So there are two ways of writing percentage. I will demonstrate with an example. Suppose we had `x` percent. This may be written as:
`x%` or as `x/100`. They are the same thing.

This is one way of making the link between the two.

Consider them as: `x xx%->x xx 1/100`

So the % bit is the same as `1/100`. In other words you may consider % as a unit of measurement that is worth `1/100`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Answering your question - using first principles")`

`color(brown)("I have shown every step so that you can see the logic")`
`color(brown)("If you use the shortcut methods it is much faster")`

Given: `3/50`

Multiply by 1 and you do not change the 'inherent ' value. However, 1 comes in many forms. So we can and may change the way some numbers look without changing their true value.

`color(green)(3/50color(white)("d")=color(white)("d")3/50color(red)(xx1))`

`color(green)(color(white)("dddd")=color(white)("d")3/50color(red)(xx2/2))`

`color(green)(color(white)("dddd")=color(white)("d")(color(white)(3)3color(red)(color(white)("d")xx2))/(50color(red)(color(white)("d")xx2)))`

`color(white)("dddd")=color(white)("d")6/100`

`color(white)("dddd")=color(white)("d")6xx1/100`

`color(white)("dddd")=color(white)("d")6xx%`

`color(white)("dddd")=color(white)("d")6%`