# 32 is 40% of what number?

Mar 15, 2018

$80$

#### Explanation:

if 32 " is " 40%

Then what number ? is 100%?

Ans = $\frac{100}{40} \times 32$

$= 5 \times 16$

$= 80$

therefore 32 = 40% " of " 80

Mar 15, 2018

$80$

#### Explanation:

Percentages can always be written as a direct proportion:

$32$ is to 40% as what number is to 100%?

32/40 = x/100" "(larr"number")/(larr"percent")

$x = \frac{32 \times 100}{40}$

$x = 80$

You can also write an equation and solve it:

Let the unknown number be $x$.

40% of that number is equal to $32$

$\frac{40}{100} \times x = 32$

$x = 32 \times \frac{40}{100}$

$x = 80$