Question

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

Answer 1

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 = (46 xx 100)/11.5" "larr` cross-multiply to get `x`

`x = 400`

Check: `11 1/2% xx 400 = 46`