# 25% of what number is 6?

May 11, 2016

100% is 24.

#### Explanation:

Direct proportion:

6 represents 25% of a larger number.
What number ($x$) represents 100%?

$\frac{6}{25} = \frac{x}{100}$

$x = \frac{6 \times 100}{25} \text{ } \leftarrow$ cross multiply

$x = 24$

OR: understand that 25% is the same fraction as one quarter.

So if ONE quarter is 6, then FOUR quarters = 4 x 6 = 24.

OR: Draw a rectangle and divide it into 4 equal parts. (each is 25% or one quarter of the total. Write 6 in each of the parts.

Total = 24.