# How do you find the base if 11 1/2% of the base is 46?

Jun 6, 2017

The base is $400$

#### Explanation:

Calculations with percent can always be done by direct proportion.

Write equivalent fractions comparing the values with the matching percent. (The full amount is always 100%

In this question:

11.5% represents 46% and we want to know the value for 100%

11.5/46 = 100/x" "(larr"percent")/(larr"value")

$x = \frac{46 \times 100}{11.5} \text{ } \leftarrow$ cross-multiply to get $x$

$x = 400$

Check: 11 1/2% xx 400 = 46