6 is 75% of what number?

1 Answer
Oct 24, 2016

#75/100 = 3/4 = 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#

#cancel75^3/cancel100^4 xx x = 6#

#x = 6 xx 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#