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

1 Answer
Jun 6, 2017

Answer:

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#