6 is 75% of what number?

Oct 24, 2016

$\frac{75}{100} = \frac{3}{4} = \frac{6}{8}$

The number we need is $8$

Explanation:

The question is easier to understand if we ask it slightly differently.

75% " of what number is equal to " 6?

This allows you to write an equation to find the number.

75% xx x = 6

${\cancel{75}}^{3} / {\cancel{100}}^{4} \times x = 6$

$x = 6 \times \frac{4}{3}$

$x = 8$

We can also do this as an equivalent fraction - a direct proportion.

 75/100 = 6/?

75/100 = 3/4 = 6/?" rarr (3 xx 2 =6)/(4 xx 2 =8

The number we need is $8$