# Finding a percentage

**Example 1**

`14` People out of `25` were female. What percentage were female?

Multiply both sides by `x` to get `x` on its own

`(100timescancelx)/cancelx=(25timesx)/14`

`100=(25x)/14`

Multiply both sides by `14` to get `x` on its own

`100times14=(25xtimescancel14)/cancel14`

`100times14=25x`

Divide both sides by `25` to get `x` on its own

`(4\ \ cancel100times14)/(1\ \ cancel25)=(cancel25x)/cancel25`

`4times14=x`

`x=56`

**Answer:** `56%` were female.

**Example 2**

What percentage of `4200` is `3000`?

Multiply both sides by `x` to get `x` on its own (what ever you do to one side you do to the other).

`(xtimes4200)/3000=(100timescancelx)/cancelx`

Multiply both sides by `3000` to get `x` on its own

`(cancel3000times4200x)/cancel3000=100times3000`

`4200x=100times3000`

Divide both sides by `4200` to get `x` on its own

`(cancel4200x)/cancel4200=(100times3000)/4200`

`x=(100times30cancel00)/(42cancel00)`

`x=(100timescancel30)/cancel42\ \ \ 15/21`

`x=1500/21`

(Working out on a calculator)

`x=71.43`

**Answer:** `3000` is `71.43%` of `4200`

# Finding a percentage

**Example 1**

`14` People out of `25` were female. What percentage were female?

Multiply both sides by `x` to get `x` on its own

`(100timescancelx)/cancelx=(25timesx)/14`

`100=(25x)/14`

Multiply both sides by `14` to get `x` on its own

`100times14=(25xtimescancel14)/cancel14`

`100times14=25x`

Divide both sides by `25` to get `x` on its own

`(4\ \ cancel100times14)/(1\ \ cancel25)=(cancel25x)/cancel25`

`4times14=x`

`x=56`

**Answer:** `56%` were female.

**Example 2**

What percentage of `4200` is `3000`?

Multiply both sides by `x` to get `x` on its own (what ever you do to one side you do to the other).

`(xtimes4200)/3000=(100timescancelx)/cancelx`

Multiply both sides by `3000` to get `x` on its own

`(cancel3000times4200x)/cancel3000=100times3000`

`4200x=100times3000`

Divide both sides by `4200` to get `x` on its own

`(cancel4200x)/cancel4200=(100times3000)/4200`

`x=(100times30cancel00)/(42cancel00)`

`x=(100timescancel30)/cancel42\ \ \ 15/21`

`x=1500/21`

(Working out on a calculator)

`x=71.43`

**Answer:** `3000` is `71.43%` of `4200`